Celebratio Mathematica

Michael F. Atiyah

Works authored by Atiyah

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M. F. Atiyah: “A note on the tan­gents of a twis­ted cu­bic,” Proc. Cam­bridge Philos. Soc. 48 (1952), pp. 204–​205. MR 0048079 Zbl 0046.​14604 article

W. Hodge and M. Atiyah: “Formes de seconde es­pèce sur une var­iété al­gébrique” [Forms of the second kind on an al­geb­ra­ic vari­ety], C. R. Acad. Sci. Par­is 239 (1954), pp. 1333–​1335. MR 0068869 article

M. F. Atiyah: “Com­plex fibre bundles and ruled sur­faces,” Proc. Lon­don Math. Soc. (3) 5 (1955), pp. 407–​434. MR 0076409 Zbl 0174.​52804 article

W. V. D. Hodge and M. F. Atiyah: “In­teg­rals of the second kind on an al­geb­ra­ic vari­ety,” Ann. Math. (2) 62 (1955), pp. 56–​91. MR 0074082 Zbl 0068.​34401 article

M. Atiyah: “On the Krull–Schmidt the­or­em with ap­plic­a­tion to sheaves,” Bull. Soc. Math. France 84 (1956), pp. 307–​317. MR 0086358 Zbl 0072.​18101 article

M. F. Atiyah: “Vec­tor bundles over an el­lipt­ic curve,” Proc. Lon­don Math. Soc. (3) 7 : 1 (1957), pp. 414–​452. MR 0131423 Zbl 0084.​17305 article

M. F. Atiyah: “Com­plex ana­lyt­ic con­nec­tions in fibre bundles,” Trans. Amer. Math. Soc. 85 : 1 (1957), pp. 181–​207. See also Sym­posi­um in­ter­nacion­al de to­po­lo­gía al­geb­ra­ica (1958). MR 0086359 Zbl 0078.​16002 article

M. F. Atiyah: “On ana­lyt­ic sur­faces with double points,” Proc. Roy. Soc. Lon­don. Ser. A 247 : 1249 (1958), pp. 237–​244. MR 0095974 Zbl 0135.​21301 article

M. F. Atiyah: Some ex­amples of com­plex man­i­folds. Bon­ner Math­em­at­ische Schriften 6. Uni­versität Bonn, 1958. MR 0105718 Zbl 0080.​37502 book

M. F. Atiyah: “Com­plex ana­lyt­ic con­nec­tions in fibre bundles,” pp. 77–​82 in Sym­posi­um in­ter­nacion­al de to­po­lo­gía al­geb­ra­ica (Uni­ver­sid­ad Nacion­al Autónoma de México). Uni­ver­sid­ad Nacion­al Autónoma de México and UN­ESCO (Mex­ico City and Par­is), 1958. See also Trans. Amer. Math. Soc. 85:1 (1957). MR 0098194 Zbl 0123.​16503 incollection

M. F. Atiyah and F. Hirzebruch: “Riemann–Roch the­or­ems for dif­fer­en­ti­able man­i­folds,” Bull. Am. Math. Soc. 65 : 4 (1959), pp. 276–​281. MR 110106 Zbl 0142.​40901 article

M. F. Atiyah and F. Hirzebruch: “Quelques théorèmes de non-plonge­ment pour les variétés différen­ti­ables” [Some non-im­mer­sion the­or­ems for dif­fer­en­ti­able man­i­folds], Bull. Soc. Math. France 87 (1959), pp. 383–​396. MR 114231 Zbl 0196.​55903 article

M. F. Atiyah and J. A. Todd: “On com­plex Stiefel man­i­folds,” Proc. Cam­bridge Philos. Soc. 56 : 4 (1960), pp. 342–​353. MR 0132552 Zbl 0109.​16102 article

M. F. Atiyah and F. Hirzebruch: “Quelques théoremes de non-plonge­ment pour les var­iétés différen­ti­ables” [Some non-em­bed­ding the­or­ems for dif­fer­en­ti­able man­i­folds], Col­loques Int. Centre Nat. Rech. Sci. 89 (1960), pp. 383–​396. See also Bull. Soc. Math. France 87 (1959). Zbl 0108.​18202 article

M. F. Atiyah and F. Hirzebruch: “Vec­tor bundles and ho­mo­gen­eous spaces,” pp. 7–​38 in Dif­fer­en­tial geo­metry (Tuc­son, AZ, 18–19 Feb­ru­ary 1960). Edi­ted by C. B. Al­lendo­er­fer. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 3. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1961. Re­pub­lished in Al­geb­ra­ic to­po­logy: A stu­dent’s guide (1972). MR 139181 Zbl 0108.​17705 incollection

M. F. Atiyah: “Char­ac­ters and co­homo­logy of fi­nite groups,” Inst. Hautes Études Sci. Publ. Math. 9 : 1 (1961), pp. 23–​64. MR 0148722 Zbl 0107.​02303 article

M. F. Atiyah: “Thom com­plexes,” Proc. Lon­don Math. Soc. (3) 11 : 1 (1961), pp. 291–​310. MR 0131880 Zbl 0124.​16301 article

M. F. Atiyah and F. Hirzebruch: “Co­homo­lo­gie-Op­er­a­tion­en und charak­ter­istische Klassen” [Co­homo­logy op­er­a­tions and char­ac­ter­ist­ic classes], Math. Z. 77 : 1 (1961), pp. 149–​187. Ded­ic­ated to Friedrich Karl Schmidt on the oc­ca­sion of his six­tieth birth­day. MR 156361 Zbl 0109.​16002 article

M. F. Atiyah: “Bor­d­ism and cobor­d­ism,” Proc. Cam­bridge Philos. Soc. 57 (1961), pp. 200–​208. MR 0126856 Zbl 0104.​17405 article

M. F. Atiyah and F. Hirzebruch: “Bott peri­od­icity and the par­al­lel­iz­ab­il­ity of the spheres,” Proc. Camb. Philos. Soc. 57 : 2 (April 1961), pp. 223–​226. MR 126282 Zbl 0108.​35902 article

M. F. Atiyah and F. Hirzebruch: “Charak­ter­istische Klassen und An­wendun­gen” [Char­ac­ter­ist­ic classes and ap­plic­a­tions], En­sei­gne­ment Math. (2) 7 : 1 (1961), pp. 188–​213. MR 154294 Zbl 0104.​39801 article

M. F. Atiyah and F. Hirzebruch: “The Riemann–Roch the­or­em for ana­lyt­ic em­bed­dings,” To­po­logy 1 : 2 (April–June 1962), pp. 151–​166. MR 148084 Zbl 0108.​36402 article

M. F. Atiyah: “Vec­tor bundles and the Kün­neth for­mula,” To­po­logy 1 : 3 (1962), pp. 245–​248. MR 0150780 article

M. F. Atiyah and F. Hirzebruch: “Ana­lyt­ic cycles on com­plex man­i­folds,” To­po­logy 1 : 1 (January–March 1962), pp. 25–​45. MR 145560 Zbl 0108.​36401 article

M. F. Atiyah: “Im­mer­sions and em­bed­dings of man­i­folds,” To­po­logy 1 : 2 (April–June 1962), pp. 125–​132. MR 0145549 Zbl 0109.​41101 article

M. F. Atiyah: “The Grothen­dieck ring in geo­metry and to­po­logy,” pp. 442–​446 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians 1962 (Stock­holm, 15–22 Au­gust 1962), vol. 1. Inst. Mit­tag-Leffler (Djur­sholm), 1963. MR 0180975 Zbl 0121.​39702 incollection

M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors on com­pact man­i­folds,” Bull. Amer. Math. Soc. 69 : 3 (1963), pp. 422–​433. MR 157392 Zbl 0118.​31203 article

M. F. Atiyah, R. Bott, and A. Sha­piro: “Clif­ford mod­ules,” To­po­logy 3 : Supplement 1 (July 1964), pp. 3–​38. MR 0167985 Zbl 0146.​19001 article

M. F. Atiyah and R. Bott: “The in­dex prob­lem for man­i­folds with bound­ary,” pp. 175–​186 in Dif­fer­en­tial Ana­lys­is: Pa­pers presen­ted at the in­ter­na­tion­al col­loqui­um (Bom­bay, 7–14 Janu­ary 1964). Tata In­sti­tute of Fun­da­ment­al Re­search Stud­ies in Math­em­at­ics 2. Ox­ford Uni­versity Press (Lon­don), 1964. MR 0185606 Zbl 0163.​34603 incollection

M. Atiyah and R. Bott: “On the peri­od­icity the­or­em for com­plex vec­tor bundles,” Acta Math. 112 : 1 (1964), pp. 229–​247. MR 0178470 Zbl 0131.​38201 article

M. F. Atiyah and R. Bott: Notes on the Lef­schetz fixed point the­or­em for el­lipt­ic com­plexes. Har­vard Uni­versity (Cam­bridge, MA), 1964. Zbl 0161.​43101 book

M. F. Atiyah: “The in­dex of el­lipt­ic op­er­at­ors on com­pact man­i­folds” in Sémin­aire Bourbaki. 15e an­née: 1962/63. Sémin­aire Bourbaki. Secrétari­at Math­ématique (Par­is), 1964. Ex­posé no. 253. Re­print of art­icle in Bull. Am. Math. Soc. 69 (1963). See also Sémin­aire Bourbaki 8 (1995). Zbl 0124.​31102 incollection

M. F. Atiyah: “On the \( K \)-the­ory of com­pact Lie groups,” To­po­logy 4 : 1 (1965), pp. 95–​99. MR 0178092 Zbl 0136.​21001 article

M. F. Atiyah: “The in­dex the­or­em for man­i­folds with bound­ary,” pp. 337–​351 in Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em. Edi­ted by R. S. Pal­ais. An­nals of Math­em­at­ics Stud­ies 57. Prin­ceton Uni­versity Press, 1965. Ap­pendix I. Atiyah’s sole con­tri­bu­tion to Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em (1965). Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 3. See also sim­il­arly-titled art­icle in Dif­fer­en­tial ana­lys­is (1965). incollection

M. F. Atiyah: “The role of al­geb­ra­ic to­po­logy in math­em­at­ics,” J. Lon­don Math. Soc. 41 : 1 (1966), pp. 63–​69. See also Geo­met­rie (1972). MR 0187231 Zbl 0137.​17301 article

M. F. Atiyah: “\( K \)-the­ory and real­ity,” Quart. J. Math. Ox­ford Ser. (2) 17 : 1 (1966), pp. 367–​386. MR 0206940 Zbl 0146.​19101 article

J. F. Adams and M. F. Atiyah: “\( K \)-the­ory and the Hopf in­vari­ant,” Quart. J. Math. Ox­ford Ser. (2) 17 (1966), pp. 31–​38. MR 0198460 Zbl 0136.​43903 article

M. F. Atiyah and R. Bott: “A Lef­schetz fixed point for­mula for el­lipt­ic dif­fer­en­tial op­er­at­ors,” Bull. Am. Math. Soc. 72 : 2 (1966), pp. 245–​250. MR 0190950 Zbl 0151.​31801 article

M. F. Atiyah: “Power op­er­a­tions in \( K \)-the­ory,” Quart. J. Math. Ox­ford Ser. (2) 17 : 1 (1966), pp. 165–​193. Rus­si­an trans­la­tion pub­lished in Math­em­atika 14:2 (1970). MR 0202130 Zbl 0144.​44901 article

M. F. Atiyah: “A Lef­schetz fixed point for­mula for holo­morph­ic map­pings,” pp. 28–​32 in Con­tem­por­ary prob­lems in the the­ory of ana­lyt­ic func­tions (Yerevan, Ar­menia, 1965). Nauka (Mo­scow), 1966. MR 0206989 Zbl 0161.​43202 incollection

M. F. Atiyah and R. Bott: “A Lef­schetz fixed point for­mula for el­lipt­ic com­plexes, I,” Ann. Math. (2) 86 : 2 (1967), pp. 374–​407. MR 0212836 Zbl 0161.​43201 article

M. F. Atiyah and D. W. An­der­son: \( K \)-the­ory. Math­em­at­ics Lec­ture Notes 7. W. A. Ben­jamin (New York and Am­s­ter­dam), 1967. Lec­tures by Atiyah (Fall 1964), notes by An­der­son. Rus­si­an trans­la­tion pub­lished as Lekcii po \( K \)-teorii (1967). 2nd edi­tion pub­lished in 1989. MR 0224083 book

M. F. Atiyah: “A Lef­schetz fixed-point for­mula for el­lipt­ic dif­fer­en­tial op­er­at­ors,” pp. 38–​39 in Sim­posio in­ternazionale di geo­metria al­gebrica (Rome, 30 Septem­ber–5 Oc­to­ber 1965), published as Rend. Mat. Ap­pl. V : 25. Issue edi­ted by G. Castel­nuovo. Cre­monese (Rome), 1967. See also Bull. Amer. Math. Soc. 72:2 (1966). Zbl 0149.​41201 incollection

M. F. Atiyah: “Al­geb­ra­ic to­po­logy and el­lipt­ic op­er­at­ors,” Comm. Pure Ap­pl. Math. 20 (1967), pp. 237–​249. MR 0211418 Zbl 0145.​43804 article

M. F. Atiyah and C. T. C. Wall: “Co­homo­logy of groups,” pp. 94–​115 in Al­geb­ra­ic num­ber the­ory (Uni­versity of Sus­sex, Brighton, 1–17 Septem­ber 1965). Edi­ted by J. W. S. Cas­sels and A. Fröh­lich. Thompson (Wash­ing­ton, DC), 1967. MR 0219512 incollection

M. F. Atiyah and D. W. An­der­son: Lekcii po \( K \)-teorii [Lec­tures on \( K \)-the­ory]. Mir (Mo­scow), 1967. Rus­si­an trans­la­tion of \( K \)-the­ory (1967). Zbl 0159.​53401 book

M. F. Atiyah and G. B. Segal: “The in­dex of el­lipt­ic op­er­at­ors, II,” Us­pehi Mat. Nauk 23 : 6 (144) (1968), pp. 135–​149. Rus­si­an trans­la­tion of art­icle in Ann. Math. 87:3 (1968). MR 0236953 article

M. F. Atiyah and G. B. Segal: “The in­dex of el­lipt­ic op­er­at­ors, II,” Ann. Math. (2) 87 : 3 (1968), pp. 531–​545. Rus­si­an trans­la­tion pub­lished in Us­pehi Mat. Nauk 23:6(144) (1968). MR 0236951 Zbl 0164.​24201 article

M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, I,” Ann. Math. (2) 87 : 3 (May 1968), pp. 484–​530. A Rus­si­an trans­la­tion was pub­lished in Us­pehi Mat. Nauk 23:5(143). MR 236950 Zbl 0164.​24001 article

M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, III,” Ann. Math. (2) 87 : 3 (May 1968), pp. 546–​604. A Rus­si­an trans­la­tion was pub­lished in Us­pehi Mat. Nauk 24:1(145). MR 236952 Zbl 0164.​24301 article

M. F. Atiyah and R. Bott: “A Lef­schetz fixed point for­mula for el­lipt­ic com­plexes, II: Ap­plic­a­tions,” Ann. Math. (2) 88 : 3 (November 1968), pp. 451–​491. MR 0232406 Zbl 0167.​21703 article

M. F. At’ja and I. M. Zinger: “The in­dex of el­lipt­ic op­er­at­ors, I,” Us­pehi Mat. Nauk 23 : 5(143) (1968), pp. 99–​142. Rus­si­an trans­la­tion of an art­icle pub­lished in Ann. Math. (2) 87:3 (1968). MR 232402 article

M. F. Atiyah: “Bott peri­od­icity and the in­dex of el­lipt­ic op­er­at­ors,” Quart. J. Math. Ox­ford Ser. (2) 19 (1968), pp. 113–​140. MR 0228000 Zbl 0159.​53501 article

M. F. Atiyah: “Glob­al as­pects of the the­ory of el­lipt­ic dif­fer­en­tial op­er­at­ors,” pp. 57–​64 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­at­ics (Mo­scow, 16–26 Au­gust 1966). Mir (Mo­scow), 1968. MR 0233378 Zbl 0204.​41902 incollection

M. F. Atiyah and I. M. Sing­er: “In­dex the­ory for skew-ad­joint Fred­holm op­er­at­ors,” Inst. Hautes Études Sci. Publ. Math. 37 (1969), pp. 5–​26. MR 285033 Zbl 0194.​55503 article

M. F. Atiyah and I. G. Mac­don­ald: In­tro­duc­tion to com­mut­at­ive al­gebra. Ad­dis­on-Wes­ley Series in Math­em­at­ics 361. Ad­dis­on-Wes­ley (Read­ing, MA), 1969. Rus­si­an trans­la­tion pub­lished as Vvedenie v kom­mut­at­ivnuju al­gebru (1972). MR 0242802 Zbl 0175.​03601 book

M. F. Atiyah: “Wan­del und Forts­ch­ritt in der Math­em­atik,” Bild der Wis­senschaft 4 (1969), pp. 315–​323. Re­pub­lished in Math­em­atiker über die Math­em­atik (1974) and Atiyah’s Col­lec­ted works, vol. 1. article

M. F. Atiyah: “The sig­na­ture of fibre-bundles,” pp. 73–​84 in Glob­al ana­lys­is: Pa­pers in hon­or of K. Kodaira. Edi­ted by S. Iy­anaga and D. C. Spen­cer. Prin­ceton Math­em­at­ic­al Series 29. Uni­versity of Tokyo Press, 1969. MR 0254864 Zbl 0193.​52302 incollection

M. F. Atiyah: “Al­geb­ra­ic to­po­logy and op­er­at­ors in Hil­bert space,” pp. 101–​121 in Lec­tures in mod­ern ana­lys­is and ap­plic­a­tions, vol. I. Edi­ted by C. T. Taam. Lec­ture Notes in Math­em­at­ics 103. Spring­er (Ber­lin), 1969. MR 0248803 Zbl 0177.​51701 incollection

M. F. Atiyah and G. B. Segal: “Equivari­ant \( K \)-the­ory and com­ple­tion,” J. Dif­fer­en­tial Geo­metry 3 (1969), pp. 1–​18. MR 0259946 Zbl 0215.​24403 article

M. F. At’ja and I. M. Zinger: “The in­dex of el­lipt­ic op­er­at­ors, III,” Us­pehi Mat. Nauk 24 : 1(145) (1969), pp. 127–​182. The Eng­lish ori­gin­al was pub­lished in Ann. Math. (2) 87:3 (1968). MR 256417 article

M. F. Atiyah and D. O. Tall: “Group rep­res­ent­a­tions, \( \lambda \)-rings and the \( J \)-ho­mo­morph­ism,” To­po­logy 8 : 3 (July 1969), pp. 253–​297. MR 0244387 Zbl 0159.​53301 article

M. F. Atiyah: “To­po­logy of el­lipt­ic op­er­at­ors,” pp. 101–​119 in Glob­al ana­lys­is (Berke­ley, CA, 1–26 Ju­ly 1968). Edi­ted by S.-S. Chern and S. Smale. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 16. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1970. MR 0264700 Zbl 0207.​22601 incollection

M. F. Atiyah: Vec­tor fields on man­i­folds. Arbeits­ge­meinsch­aft für Forschung des Landes Nordrhein-West­falen 200. West­deutscher Ver­lag (Co­logne), 1970. MR 0263102 Zbl 0193.​52303 book

M. F. Atiyah: “Power op­er­a­tions in \( K \)-the­ory,” Matem­atika 14 : 2 (1970), pp. 35–​65. Rus­si­an trans­la­tion of art­icle in Q. J. Math., Oxf. 17:1 (1966). Zbl 0208.​51503 article

M. Atiyah and F. Hirzebruch: “Spin-man­i­folds and group ac­tions,” pp. 18–​28 in Es­says on to­po­logy and re­lated top­ics (Mémoires dédiés à Georges de Rham) [Es­says on to­po­logy and re­lated top­ics (Mem­oirs ded­ic­ated to Georges de Rham)] (Geneva, 26–28 March 1969). Edi­ted by R. Narasim­han and A. Hae­fli­ger. Spring­er (New York), 1970. MR 278334 Zbl 0193.​52401 incollection

M. F. Atiyah: “Glob­al the­ory of el­lipt­ic op­er­at­ors,” pp. 21–​30 in Func­tion­al ana­lys­is and re­lated top­ics (Tokyo, 1969). Edi­ted by S. T. Kur­oda. Uni­versity of Tokyo Press, 1970. MR 0266247 Zbl 0193.​43601 incollection

M. F. Atiyah: “Res­ol­u­tion of sin­gu­lar­it­ies and di­vi­sion of dis­tri­bu­tions,” Comm. Pure Ap­pl. Math. 23 : 2 (1970), pp. 145–​150. MR 0256156 Zbl 0188.​19405 article

M. F. Atiyah, R. Bott, and L. Gård­ing: “La­cunas for hy­per­bol­ic dif­fer­en­tial op­er­at­ors with con­stant coef­fi­cients, I,” Acta Math. 124 : 1 (July 1970), pp. 109–​189. A Rus­si­an trans­la­tion was pub­lished in Usp. Mat. Nauk 26:2(158). MR 0470499 Zbl 0191.​11203 article

M. F. Atiyah: “El­lipt­ic op­er­at­ors and sin­gu­lar­it­ies of vec­tor fields,” pp. 207–​209 in Act­es du Con­grès In­ter­na­tion­al des Math­ématiciens (Nice, 1–10 Septem­ber 1970), vol. 2. Gau­th­i­er-Vil­lars (Par­is), 1971. MR 0415688 Zbl 0222.​58004 incollection

M. F. Atiyah: “Riemann sur­faces and spin struc­tures,” Ann. Sci. École Norm. Sup. (4) 4 : 1 (1971), pp. 47–​62. MR 0286136 Zbl 0212.​56402 article

M. F. Atiyah: “On the work of Serge Novikov,” pp. 11–​13 in Act­es du Con­grès In­ter­na­tion­al des Math­ématiciens (Nice, 1–10 Septem­ber 1970). Gau­th­i­er-Vil­lars (Par­is), 1971. MR 0414280 incollection

M. F. Atiyah and G. B. Segal: “Ex­po­nen­tial iso­morph­isms for \( \lambda \)-rings,” Quart. J. Math. Ox­ford Ser. (2) 22 : 3 (1971), pp. 371–​378. MR 0291250 Zbl 0226.​13008 article

M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, V,” Ann. Math. (2) 93 : 1 (January 1971), pp. 139–​149. A Rus­si­an trans­la­tion was pub­lished in Us­pehi Mat. Nauk 27:4(166) (1972). MR 279834 article

M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, IV,” Ann. Math. (2) 93 : 1 (January 1971), pp. 119–​138. A Rus­si­an trans­la­tion was pub­lished in Us­pehi Mat. Nauk 27:4(166) (1972). MR 279833 Zbl 0212.​28603 article

M. F. At’ja, R. Bott, and L. Gord­ing: “La­cunas for hy­per­bol­ic dif­fer­en­tial op­er­at­ors with con­stant coef­fi­cients, I,” Usp. Mat. Nauk 26 : 2(158) (1971), pp. 25–​100. Rus­si­an trans­la­tion of an art­icle in Acta Math. 124:1 (1970). MR 0606062 Zbl 0208.​13201 article

M. F. Atiyah and I. G. Mac­don­ald: Vvedenie v kom­mut­at­ivnuyu al­gebru [In­tro­duc­tion to com­mut­at­ive al­gebra]. Mir (Mo­scow), 1972. Rus­si­an trans­la­tion of In­tro­duc­tion to com­mut­at­ive al­gebra (1969). MR 0349645 Zbl 0238.​13001 book

M. F. At’ja and I. M. Zinger: “The in­dex of el­lipt­ic op­er­at­ors, IV,” Us­pehi Mat. Nauk 27 : 4(166) (1972), pp. 161–​178. Rus­si­an trans­la­tion of an art­icle pub­lished in Ann. Math. (2) 93:1 (1971). MR 385933 Zbl 0237.​58017 article

M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, V,” Usp. Mat. Nauk 27 : 4(166) (1972). Rus­si­an trans­la­tion of an art­icle pub­lished in Ann. Math. (2) 93:1 (1971). Zbl 0237.​58018 article

M. F. Atiyah and J. L. Dupont: “Vec­tor fields with fi­nite sin­gu­lar­it­ies,” Acta Math. 128 : 1 (1972), pp. 1–​40. MR 0451256 Zbl 0233.​57010 article

M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry,” Bull. Lon­don Math. Soc. 5 (July 1973), pp. 229–​234. MR 331443 Zbl 0268.​58010 article

M. Atiyah, R. Bott, and V. K. Pat­odi: “On the heat equa­tion and the in­dex the­or­em,” Matem­atika, Mosk­va 17 : 6 (1973), pp. 3–​48. Rus­si­an trans­la­tion of an art­icle in In­vent. Math. 19:4 (1973). Zbl 0364.​58016 article

M. Atiyah, R. Bott, and V. K. Pat­odi: “On the heat equa­tion and the in­dex the­or­em,” In­vent. Math. 19 : 4 (1973), pp. 279–​330. Ded­ic­ated to Sir Wil­li­am Hodge on his 70th birth­day. Er­rata were pub­lished in In­vent. Math. 28:3 (1975). A Rus­si­an trans­la­tion was pub­lished in Matem­atika 17:6 (1973). MR 0650828 Zbl 0257.​58008 article

M. F. Atiyah, R. Bott, and L. Gård­ing: “La­cunas for hy­per­bol­ic dif­fer­en­tial op­er­at­ors with con­stant coef­fi­cients, II,” Acta Math. 131 : 1 (December 1973), pp. 145–​206. A Rus­si­an trans­la­tion was pub­lished in Usp. Mat. Nauk 39:3(237). MR 0470500 Zbl 0266.​35045 article

M. F. Atiyah: El­lipt­ic op­er­at­ors and com­pact groups. Lec­ture Notes in Math­em­at­ics 401. Spring­er (Ber­lin), 1974. MR 0482866 Zbl 0297.​58009 book

M. F. Atiyah: “How re­search is car­ried out,” Bull. IMA 10 (1974), pp. 232–​234. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 1. article

M. F. Atiyah and L. Smith: “Com­pact Lie groups and the stable ho­mo­topy of spheres,” To­po­logy 13 : 2 (1974), pp. 135–​142. MR 0343269 Zbl 0282.​55008 article

M. F. Atiyah: “In­vari­ant the­ory and Rieman­ni­an geo­metry,” pp. 19–​24 in Pro­spects in math­em­at­ics (Kyoto Uni­versity, 18–23 April 1973). Kyoto Uni­versity, 1974. MR 0482867 Zbl 0335.​58014 incollection

M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, II,” Math. Proc. Cam­bridge Philos. Soc. 78 : 3 (November 1975), pp. 405–​432. MR 397798 Zbl 0314.​58016 article

M. F. Atiyah: “The heat equa­tion in Rieman­ni­an geo­metry (after Pat­odi, Gilkey, etc.),” pp. 1–​11 in Sémin­aire Bourbaki 1973/1974. Lec­ture Notes in Math­em­at­ics 431. Spring­er (Ber­lin), 1975. Ex­posé no. 436. MR 0431286 incollection

M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, I,” Math. Proc. Cam­bridge Philos. Soc. 77 (1975), pp. 43–​69. MR 397797 Zbl 0297.​58008 article

M. F. Atiyah: “Ei­gen­val­ues and Rieman­ni­an geo­metry,” pp. 5–​9 in Man­i­folds (Tokyo, 1973). Edi­ted by A. Hat­tori. Uni­versity of Tokyo Press, 1975. MR 0372928 Zbl 0319.​53030 incollection

M. F. Atiyah: “Clas­sic­al groups and clas­sic­al dif­fer­en­tial op­er­at­ors on man­i­folds,” pp. 5–​48 in Dif­fer­en­tial op­er­at­ors on man­i­folds (Var­enna, Italy, 24 Au­gust–2 Septem­ber 1975). Edi­ted by E. Vesentini. Cre­monese (Rome), 1975. MR 0650830 incollection

M. Atiyah, R. Bott, and V. K. Pat­odi: “Er­rata to: ‘On the heat equa­tion and the in­dex the­or­em’,” In­vent. Math. 28 : 3 (1975), pp. 277–​280. Er­rata for art­icle in In­vent. Math. 19:4 (1973). MR 0650829 Zbl 0301.​58018 article

M. F. Atiyah and E. Rees: “Vec­tor bundles on pro­ject­ive 3-space,” In­vent. Math. 35 : 1 (1976), pp. 131–​153. MR 0419852 article

M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, III,” Math. Proc. Cam­bridge Philos. Soc. 79 : 1 (1976), pp. 71–​99. MR 397799 Zbl 0325.​58015 article

M. F. Atiyah: “Sin­gu­lar­it­ies of func­tions,” Bull. Inst. Math. Ap­pl. 12 : 7 (1976), pp. 203–​206. Pa­per presen­ted at the Sym­posi­um on Ex­cite­ment in Math­em­at­ics. MR 0590054 article

M. F. Atiyah: “El­lipt­ic op­er­at­ors, dis­crete groups and von Neu­mann al­geb­ras,” pp. 43–​72 in Col­loque “Ana­lyse et To­po­lo­gie” en l’hon­neur de Henri Cartan (Or­say, 1974). As­térisque 32–​33. So­ciété Math­ématique de France (Par­is), 1976. MR 0420729 Zbl 0323.​58015 incollection

M. F. Atiyah: “Bakeri­an Lec­ture, 1975: Glob­al geo­metry,” Proc. Roy. Soc. Lon­don Ser. A 347 : 1650 (1976), pp. 291–​299. Re­pub­lished in Amer. Math. Mon. 111:8 (2004). MR 0462821 article

M. F. Atiyah: “Trends in pure math­em­at­ics,” pp. 71–​74 in Pro­ceed­ings of the Third In­ter­na­tion­al Con­gress on Math­em­at­ic­al Edu­ca­tion (Karls­ruhe, 16–21 Au­gust 1976). Edi­ted by H. Athen and H. Kunle. Uni­versität Karls­ruhe, 1977. Re­prin­ted in Atiyah’s Col­lec­ted works, vol. 1. incollection

M. F. Atiyah and R. S. Ward: “In­stan­tons and al­geb­ra­ic geo­metry,” Comm. Math. Phys. 55 : 2 (1977), pp. 117–​124. MR 0494098 Zbl 0362.​14004 article

M. F. Atiyah, N. J. Hitchin, and I. M. Sing­er: “De­form­a­tions of in­stan­tons,” Proc. Nat. Acad. Sci. U.S.A. 74 : 7 (July 1977), pp. 2662–​2663. MR 458424 Zbl 0356.​58011 article

M. Atiyah and W. Schmid: “A geo­met­ric con­struc­tion of the dis­crete series for semisimple Lie groups,” In­vent. Math. 42 : 1 (1977), pp. 1–​62. Re­pub­lished in Har­mon­ic ana­lys­is and rep­res­ent­a­tions of semisimple Lie groups (1980). Er­rata pub­lished in In­vent. Math. 54:2 (1979). MR 0463358 Zbl 0373.​22001 article

M. F. Atiyah: “Wil­li­am Val­lance Douglas Hodge,” Bull. Lon­don Math. Soc. 9 : 1 (1977), pp. 99–​118. Re­pub­lished with modi­fic­a­tions from Biog. Mem. Fel­lows Roy. Soc. Lond. 22 (1976). MR 0427007 Zbl 0343.​01010 article

M. F. Atiyah: “A sur­vey of \( K \)-the­ory,” pp. 1–​9 in \( K \)-the­ory and op­er­at­or al­geb­ras (Uni­versity of Geor­gia, Athens, GA, 21–25 April 1975). Edi­ted by B. B. Mor­rel and I. M. Sing­er. Spring­er (Ber­lin), 1977. MR 0474299 Zbl 0345.​55005 incollection

M. F. Atiyah: “Geo­metry of Yang–Mills fields,” pp. 216–​221 in Math­em­at­ic­al prob­lems in the­or­et­ic­al phys­ics (Rome, 6–15 June 1977). Edi­ted by G. Dell’Ant­o­nio. Lec­ture Notes in Phys­ics 80. Spring­er (Ber­lin), 1978. See also Geo­metry of Yang–Mills fields (1979). MR 518436 incollection

M. F. Atiyah, N. J. Hitchin, and I. M. Sing­er: “Self-du­al­ity in four-di­men­sion­al Rieman­ni­an geo­metry,” Proc. Roy. Soc. Lon­don Ser. A 362 : 1711 (September 1978), pp. 425–​461. MR 506229 Zbl 0389.​53011 article

M. F. Atiyah: “Geo­metry and phys­ics,” Sûgaku 30 : 2 (1978), pp. 128–​131. Spe­cial is­sue on the 100th an­niversary of the Math­em­at­ic­al So­ci­ety of Ja­pan. MR 509876 article

M. F. Atiyah: “The unity of math­em­at­ics,” Bull. Lon­don Math. Soc. 10 : 1 (1978), pp. 69–​76. Bul­gari­an trans­la­tion pub­lished in Fiz.-Mat. Spis. 22(55):1 (1979). MR 0476223 Zbl 0376.​00001 article

M. F. Atiyah, N. J. Hitchin, V. G. Drin­fel’d, and Yu. I. Man­in: “Con­struc­tion of in­stan­tons,” Phys. Lett. A 65 : 3 (1978), pp. 185–​187. MR 598562 article

M. F. Atiyah and J. D. S. Jones: “To­po­lo­gic­al as­pects of Yang–Mills the­ory,” Comm. Math. Phys. 61 : 2 (1978), pp. 97–​118. MR 503187 Zbl 0387.​55009 article

M. Atiyah and W. Schmid: “Er­rat­um: ‘A geo­met­ric con­struc­tion of the dis­crete series for semisimple Lie groups’,” In­vent. Math. 54 : 2 (1979), pp. 189–​192. Er­rat­um for art­icle in In­vent. Math. 42:1 (1977). See also Har­mon­ic ana­lys­is and rep­res­ent­a­tions of semisimple Lie groups (1980). MR 550183 article

M. F. Atiyah: “Utvik­lingslin­jer innen ren matem­atikk” [Lines of de­vel­op­ment in pure math­em­at­ics], Nor­mat 1 (1979), pp. 10–​20, 48. In Nor­we­gi­an. MR 527874 article

M. F. Atiyah: “The Har­ish-Chandra char­ac­ter,” pp. 176–​181 in Rep­res­ent­a­tion the­ory of Lie groups (SRC/LMS Re­search Sym­posi­um, Ox­ford, 28 June–15 Ju­ly 1977). Edi­ted by G. L. Luke. Lon­don Math­em­at­ic­al So­ci­ety Lec­ture Note Series 34. 1979. Zbl 0426.​22014 incollection

M. F. Atiyah: “The unity of math­em­at­ics,” Fiz.-Mat. Spis. 22(55) : 1 (1979), pp. 11–​18. Bul­gari­an trans­la­tion of art­icle in Bull. Lon­don Math. Soc 10:1 (1979). MR 543366 Zbl 0464.​00034 article

M. F. Atiyah: Geo­metry of Yang–Mills fields. Lezioni Fer­mi­ane. Ac­ca­demia Nazionale dei Lincei & Scuola Nor­male Su­peri­ore Pisa (Pisa), 1979. Re­prin­ted in Atiyah’s Col­lec­ted works, vol. 5 (1988). See also art­icle in Math­em­at­ic­al prob­lems in the­or­et­ic­al phys­ics (1978). MR 554924 Zbl 0435.​58001 book

M. F. Atiyah: “Real and com­plex geo­metry in four di­men­sions,” pp. 1–​10 in The Chern Sym­posi­um 1979 (Berke­ley, CA, June 1979). Edi­ted by W. Y. Hsiang. Spring­er (New York), 1980. MR 609554 Zbl 0454.​53043 incollection

M. F. Atiyah and R. Bott: “Yang–Mills and bundles over al­geb­ra­ic curves,” pp. 11–​20 in Geo­metry and ana­lys­is: Pa­pers ded­ic­ated to the memory of V. K. Pat­odi. In­di­an Academy of Sci­ences (Ban­galore), 1980. Re­pub­lished in Proc. In­di­an Acad. Sci. Math. Sci. 90:1 (1981). MR 592249 Zbl 0482.​14007 incollection

M. Atiyah and W. Schmid: “A geo­met­ric con­struc­tion of the dis­crete series for semisimple Lie groups,” pp. 317–​378 in Har­mon­ic ana­lys­is and rep­res­ent­a­tions of semisimple Lie groups (Liège, 5–17 Septem­ber 1977). Edi­ted by J. A. Wolf, M. Ca­hen, and M. de Wilde. Math­em­at­ic­al Phys­ics and Ap­plied Math­em­at­ics 5. D. Re­idel (Dordrecht), 1980. Re­pub­lished from In­vent. Math. 42:1 (1977). Zbl 0466.​22012 incollection

M. Atiyah and W. Schmid: “Er­rat­um to the art­icle ‘A geo­met­ric con­struc­tion of the dis­crete series for semisimple Lie groups’” in Har­mon­ic ana­lys­is and rep­res­ent­a­tions of semisimple Lie groups (Liège, 5–17 Septem­ber 1977). Edi­ted by J. A. Wolf, M. Ca­hen, and M. de Wilde. Math­em­at­ic­al Phys­ics and Ap­plied Math­em­at­ics 5. D. Re­idel (Dordrecht), 1980. Er­rat­um for art­icle in same volume. Re­pub­lished from In­vent. Math. 54:2 (1979). Zbl 0466.​22013 incollection

M. F. Atiyah: “Geo­met­ric­al as­pects of gauge the­or­ies,” pp. 881–​885 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Hel­sinki, 15–23 Au­gust 1978), vol. 2. Edi­ted by O. Le­hto. Aca­demia Sci­en­tiar­um Fen­nica (Hel­sinki), 1980. MR 562703 Zbl 0428.​58018 incollection

M. F. Atiyah: “Re­marks on Morse the­ory,” pp. 1–​5 in Re­cent de­vel­op­ments in gauge the­or­ies. Edi­ted by G. ’t Hooft, C. Itzyk­son, A. Jaffe, H. Lehmann, P. K. Mit­ter, I. M. Sing­er, and R. Stora. NATO Ad­vanced Study In­sti­tutes Series B. Phys­ics. 59. Plen­um Press (New York and Lon­don), 1980. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 5. incollection

M. F. Atiyah: “Green’s func­tions for self-dual four-man­i­folds,” pp. 129–​158 in Math­em­at­ic­al ana­lys­is and ap­plic­a­tions, Part A, published as Adv. in Math. Sup­pl. Stud. 7A. Issue edi­ted by L. Nachbin. Aca­dem­ic Press (New York), 1981. MR 634238 Zbl 0484.​53036 incollection

M. F. Atiyah and R. Bott: “Yang–Mills and bundles over al­geb­ra­ic curves,” pp. 11–​20 in Geo­metry and ana­lys­is: Pa­pers ded­ic­ated to the memory of V. K. Pat­odi, published as Proc. In­di­an Acad. Sci., Math. Sci. 90 : 1. In­di­an Academy of Sci­ences (Ban­galore), 1981. MR 653942 Zbl 0499.​14005 incollection

M. F. Atiyah: “Con­vex­ity and com­mut­ing Hamilto­ni­ans,” Bull. Lon­don Math. Soc. 14 : 1 (1982), pp. 1–​15. MR 642416 Zbl 0482.​58013 article

M. F. Atiyah: “Gauge the­ory and al­geb­ra­ic geo­metry,” pp. 1–​20 in Dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Beijing, 1980), vol. 1. Edi­ted by S.-S. Chern and W.-t. Wu. Sci­ence Press, Gor­don and Breach (Beijing, New York), 1982. Zbl 0544.​14012 incollection

M. Atiyah: “What is geo­metry?,” Math. Gaz. 66 : 437 (1982), pp. 179–​184. Nor­we­gi­an trans­la­tion pub­lished in Nor­mat 31:2 (1983). A Czech trans­la­tion pub­lished in Pok­roky Mat. Fyz. As­tro­nom. 29:4 (1984). MR 677460 Zbl 0549.​51001 article

M. F. Atiyah: “Solu­tions of clas­sic­al equa­tions,” pp. 207–​219 in Gauge the­or­ies: Fun­da­ment­al in­ter­ac­tions and rig­or­ous res­ults (Poi­ana Braşov, Ro­mania, sum­mer 1981). Edi­ted by P. Dita, V. Georges­cu, and R. Purice. Pro­gress in Phys­ics 5. Birkhä user (Bo­ston), 1982. Zbl 0539.​70028 incollection

M. F. Atiyah: “Geo­metry of mono­poles,” pp. 3–​20 in Mono­poles in quantum field the­ory (Trieste, Decem­ber 1981). Edi­ted by N. S. Craigie, P. God­dard, and W. Nahm. World Sci­entif­ic (Singa­pore), 1982. MR 766750 incollection

M. F. Atiyah, H. Don­nelly, and I. M. Sing­er: “Geo­metry and ana­lys­is of Shim­izu \( L \)-func­tions,” Proc. Nat. Acad. Sci. U.S.A. 79 : 18 (September 1982), pp. 5751. MR 674920 Zbl 0503.​12007 article

M. F. Atiyah and A. N. Press­ley: “Con­vex­ity and loop groups,” pp. 33–​63 in Arith­met­ic and geo­metry: Pa­pers ded­ic­ated to I. R. Sha­far­ev­ich, vol. 2. Edi­ted by M. Artin and I. R. Ša­far­e­v­ič. Pro­gress in Math­em­at­ics 36. Birkhäuser (Bo­ston), 1983. MR 717605 Zbl 0529.​22013 incollection

M. Atiyah: “Hva er geo­metri?” [What is geo­metry?], Nor­mat 31 : 2 (1983), pp. 70–​74. Nor­we­gi­an trans­la­tion of art­icle in Math. Gaz. 66:437 (1982). See also Pok­roky Mat. Fyz. As­tro­nom. 29:4 (1984). MR 702261 article

M. F. Atiyah and R. Bott: “The Yang–Mills equa­tions over Riemann sur­faces,” Philos. Trans. R. Soc. Lond., A 308 : 1505 (1983), pp. 523–​615. MR 702806 Zbl 0509.​14014 article

M. F. Atiyah, H. Don­nelly, and I. M. Sing­er: “Eta in­vari­ants, sig­na­ture de­fects of cusps, and val­ues of \( L \)-func­tions,” Ann. Math. (2) 118 : 1 (July 1983), pp. 131–​177. An ad­dendum to this art­icle was pub­lished in Ann. Math. (2) 119:3 (1984). MR 707164 Zbl 0531.​58048 article

M. F. Atiyah: “An­gu­lar mo­mentum, con­vex poly­hedra and al­geb­ra­ic geo­metry,” Proc. Ed­in­burgh Math. Soc. (2) 26 : 2 (1983), pp. 121–​133. MR 705256 Zbl 0521.​58026 article

M. Atiyah: “An­om­alies and in­dex the­ory,” pp. 313–​322 in Su­per­sym­metry and su­per­grav­ity/non­per­turb­at­ive QCD (Ma­habalesh­war, In­dia, 5–19 Janu­ary 1984). Edi­ted by P. Roy and V. Singh. Lec­ture Notes in Math­em­at­ics 208. Spring­er (Ber­lin), 1984. MR 774599 incollection

M. F. Atiyah: “The mo­ment map in sym­plect­ic geo­metry,” pp. 43–​51 in Glob­al Rieman­ni­an geo­metry (Durham Uni­versity, UK, Ju­ly 1983). Edi­ted by T. Will­more and N. J. Hitchin. Math­em­at­ics and its Ap­plic­a­tions. El­lis Hor­wood (Chichester, UK), 1984. MR 757204 Zbl 0615.​53023 incollection

M. F. Atiyah and R. Bott: “The mo­ment map and equivari­ant co­homo­logy,” To­po­logy 23 : 1 (1984), pp. 1–​28. MR 721448 Zbl 0521.​58025 article

M. F. Atiyah: “Geo­metry and ana­lys­is of the Yang–Mills equa­tions,” pp. 3–​8 in Math­em­at­ics in the Gulf area (Riy­adh, Saudi Ar­a­bia, 17–21 Oc­to­ber 1982). Edi­ted by Y. Al-Khamees. Ar­ab Bur­eau of Edu­ca­tion for the Gulf States (Riy­adh), 1984. Zbl 0595.​53072 incollection

M. F. Atiyah and I. M. Sing­er: “Dir­ac op­er­at­ors coupled to vec­tor po­ten­tials,” Proc. Nat. Acad. Sci. U.S.A. 81 : 8 (April 1984), pp. 2597–​2600. MR 742394 Zbl 0547.​58033 article

M. F. Atiyah: “In­stan­tons in two and four di­men­sions,” Comm. Math. Phys. 93 : 4 (1984), pp. 437–​451. MR 763752 Zbl 0564.​58040 article

M. F. Atiyah, H. Don­nelly, and I. M. Sing­er: “Sig­na­ture de­fects of cusps and val­ues of \( L \)-func­tions: The non­split case,” Ann. Math. (2) 119 : 3 (1984), pp. 635–​637. Ad­dendum to an art­icle pub­lished in Ann. Math. (2) 118:1 (1983). MR 744866 Zbl 0577.​58030 article

M. F. At’ya, R. Bott, and L. Gård­ing: “La­cunas for hy­per­bol­ic dif­fer­en­tial op­er­at­ors with con­stant coef­fi­cients, II,” Usp. Mat. Nauk 39 : 3(237) (1984), pp. 171–​224. Rus­si­an trans­la­tion of an art­icle in Acta Math. 131:1 (1973). MR 747794 Zbl 0568.​35058 article

M. F. Atiyah: “The Yang–Mills equa­tions and the struc­ture of 4-man­i­folds,” pp. 11–​17 in Glob­al Rieman­ni­an geo­metry (Durham Uni­versity, UK, Ju­ly 1983). Edi­ted by T. Will­more and N. J. Hitchin. Series in Math­em­at­ics and its Ap­plic­a­tions. El­lis Hor­wood (Chichester, UK), 1984. MR 757200 Zbl 0614.​57007 incollection

M. F. Atiyah: “Co je geo­met­rie?” [What is geo­metry?], Pok­roky Mat. Fyz. As­tro­nom. 29 : 4 (1984), pp. 213–​217. Czech trans­la­tion of art­icle in Math. Gaz. 66:437 (1982). See also Nor­mat 31:2 (1983). MR 762935 article

M. F. Atiyah and N. J. Hitchin: “Low en­ergy scat­ter­ing of nona­beli­an mono­poles,” Phys. Lett. A 107 : 1 (1985), pp. 21–​25. MR 778313 Zbl 1177.​53069 article

M. Atiyah: “Ei­gen­val­ues of the Dir­ac op­er­at­or,” pp. 251–​260 in Arbeit­sta­gung Bonn 1984 (Max-Planck-In­sti­tut für Math­em­atik, Bonn, 15–22 June 1984). Edi­ted by F. Hirzebruch, J. Schwer­mer, and S. Suter. Lec­ture Notes in Math­em­at­ics 1111. Spring­er (Ber­lin), 1985. MR 797424 Zbl 0568.​53022 incollection

M. F. Atiyah: “Cir­cu­lar sym­metry and sta­tion­ary-phase ap­prox­im­a­tion,” pp. 43–​59 in Col­loque en l’hon­neur de Laurent Schwartz (École Poly­tech­nique, Pal­aiseau, 30 May–3 June 1983). As­térisque 131. So­ciété math­ématique de France (Par­is), 1985. MR 816738 Zbl 0578.​58039 incollection

M. Atiyah: “To­po­lo­gic­al as­pects of an­om­alies,” pp. 22–​32 in Sym­posi­um on an­om­alies, geo­metry, to­po­logy (Uni­versity of Chica­go, 28–30 March 1985). Edi­ted by W. A. Bardeen and A. R. White. World Sci­entif­ic (Singa­pore), 1985. MR 850843 Zbl 0651.​58035 incollection

M. Atiyah: “Com­ment­ary on the art­icle of Man­in,” pp. 103–​109 in Arbeit­sta­gung Bonn 1984 (Max-Planck-In­sti­tut für Math­em­atik, Bonn, 15–22 June 1984). Edi­ted by F. Hirzebruch, J. Schwer­mer, and S. Suter. Lec­ture Notes in Math­em­at­ics 1111. Spring­er (Ber­lin), 1985. The art­icle is Yu. I. Man­in, “New di­men­sions in geo­metry,” from the same volume. MR 797417 Zbl 0595.​53071 incollection

M. Atiyah, N. J. Hitchin, J. T. Stu­art, and M. Tabor: “Low-en­ergy scat­ter­ing of nona­beli­an mag­net­ic mono­poles [and dis­cus­sion],” Philos. Trans. Roy. Soc. Lon­don Ser. A 315 : 1533 (1985), pp. 459–​469. MR 836746 article

M. F. Atiyah: “Identi­fy­ing pro­gress in math­em­at­ics,” pp. 24–​41 in The iden­ti­fic­a­tion of pro­gress in learn­ing (Col­mar, France, 26–28 March 1983). Edi­ted by T. Häger­strand. Cam­bridge Uni­versity Press, 1985. MR 807796 incollection

M. Atiyah: “Math­em­at­ics and the com­puter re­volu­tion,” pp. 43–​51 in The in­flu­ence of com­puters and in­form­at­ics on math­em­at­ics and its teach­ing (Stras­bourg, March, 1985). Edi­ted by A. G. Howson and J.-P. Ka­hane. Cam­bridge Uni­versity Press, 1986. Re­prin­ted in Atiyah’s Col­lec­ted works, vol. 1, pp. 327–348.

M. F. Atiyah: “Math­em­at­ics and the com­puter re­volu­tion,” pp. 43–​51 in The in­flu­ence of com­puters and in­form­at­ics on math­em­at­ics and its teach­ing (Stras­bourg, March 1985). Edi­ted by A. G. Howson and J.-P. Ka­hane. Cam­bridge Uni­versity Press, 1986. Lec­ture giv­en at the Lo­c­arno Con­fer­ence “1984: Comin­cia il fu­turo” (May 1984). Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 1. Itali­an trans­la­tion pub­lished in Nuova Civiltà della Mac­chine 2:3 (1984). incollection

M. F. Atiyah: “Mag­net­ic mono­poles in hy­per­bol­ic spaces,” pp. 1–​33 in Vec­tor bundles on al­geb­ra­ic vari­et­ies (Bom­bay, 9–16 Janu­ary 1984). Stud­ies in Math­em­at­ics 11. Tata In­sti­tute for Fun­da­ment­al Re­search (Bom­bay), 1987. MR 893593 Zbl 0722.​53063 incollection

M. Atiyah: “On the work of Si­mon Don­ald­son,” pp. 3–​6 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Berke­ley, CA, 3–11 Au­gust 1986), vol. 2. Edi­ted by A. Gleason. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1987. MR 934209 Zbl 0666.​01010 incollection

M. Atiyah: “The log­ar­ithm of the Dede­kind \( \eta \)-func­tion,” Math. Ann. 278 : 1–​4 (1987), pp. 335–​380. MR 909232 Zbl 0648.​58035 article

M. Atiyah: “To­po­logy and dif­fer­en­tial equa­tions,” pp. 45–​52 in ICIAM ’87: Pro­ceed­ings of the first In­ter­na­tion­al Con­fer­ence on In­dus­tri­al and Ap­plied Math­em­at­ics (Par­is, 29 June–3 Ju­ly 1987). Edi­ted by J. McK­enna and R. Tem­am. SIAM (Phil­adelphia, PA), 1988. MR 976850 Zbl 0687.​35001 incollection

M. F. Atiyah: “Char­ac­ters of semi-simple Lie groups,” pp. 489–​558 in Col­lec­ted works, vol. 4: In­dex the­ory 2. Ox­ford Sci­ence Pub­lic­a­tions. Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford, New York), 1988. Lec­tures giv­en at Math­em­at­ic­al In­sti­tute, Ox­ford, 1976. incollection

M. Atiyah: “New in­vari­ants of 3- and 4-di­men­sion­al man­i­folds,” pp. 285–​299 in The math­em­at­ic­al her­it­age of Her­mann Weyl (Durham, NC, 12–16 May 1987). Edi­ted by R. O. Wells, Jr. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 48. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1988. Rus­si­an trans­la­tion pub­lished in Us­pekhi Mat. Nauk 45:4(274) (1990). MR 974342 Zbl 0667.​57018 incollection

M. F. Atiyah: “Geo­metry and ana­lys­is in the nine­teen eighties,” pp. 317–​326 in Col­lec­ted works, vol. 2: \( K \)-the­ory. Ox­ford Sci­ence Pub­lic­a­tions. Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford, New York), 1988. incollection

M. Atiyah: “To­po­lo­gic­al quantum field the­or­ies,” Inst. Hautes Études Sci. Publ. Math. 68 : 1 (January 1988), pp. 175–​186. MR 1001453 Zbl 0692.​53053 article

M. Atiyah and N. Hitchin: The geo­metry and dy­nam­ics of mag­net­ic mono­poles. M. B. Port­er Lec­tures. Prin­ceton Uni­versity Press, 1988. Rus­si­an trans­la­tion pub­lished as Geo­met­riya i di­n­ami­ka mag­nit­nykh mono­polei (1991). MR 934202 Zbl 0671.​53001 book

M. F. Atiyah: “Speech on con­fer­ment of Fel­trinelli Prize,” pp. 309–​316 in Col­lec­ted works, vol. 2: \( K \)-the­ory. Ox­ford Sci­ence Pub­lic­a­tions. Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford, New York), 1988. Atiyah re­ceived the Ant­o­nio Fel­trinelli Prize from the Ac­ca­demia Nazionale dei Lincei in 1981. incollection

M. F. Atiyah: “Geo­metry, to­po­logy and phys­ics,” Quart. Journ. Roy­al As­tro­phys­ics Soc. 29 : 3 (September 1988), pp. 287–​299. De­livered as the 11th Ar­thur Mil­ne Lec­ture at Ox­ford Uni­versity. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. article

M. Atiyah: “The im­pact of phys­ics on geo­metry,” pp. 1–​9 in Dif­fer­en­tial geo­met­ric­al meth­ods in the­or­et­ic­al phys­ics (Como, Italy, 1987). Edi­ted by K. Bleuler and M. Wern­er. NATO ASI Series C: Math­em­at­ic­al and Phys­ic­al Sci­ences 250. Kluwer Aca­dem­ic (Dordrecht), 1988. MR 981370 Zbl 0657.​53054 incollection

M. Atiyah: Col­lec­ted works, vol. 5: Gauge the­or­ies. Ox­ford Sci­ence Pub­lic­a­tions. The Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford, New York), 1988. MR 951896 Zbl 0691.​53003 book

M. Atiyah: Col­lec­ted works, vol. 4: In­dex the­ory 2. Ox­ford Sci­ence Pub­lic­a­tions. The Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford and New York), 1988. MR 951895 book

M. Atiyah: Col­lec­ted works, vol. 3: In­dex the­ory 1. Ox­ford Sci­ence Pub­lic­a­tions. The Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford and New York), 1988. MR 951894 Zbl 0724.​53001 book

M. Atiyah: Col­lec­ted works, vol. 2: \( K \)-the­ory. Ox­ford Sci­ence Pub­lic­a­tions. The Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford and New York), 1988. MR 951893 Zbl 0724.​55001 book

M. Atiyah: Col­lec­ted works, vol. 1: Early pa­pers; gen­er­al pa­pers. Ox­ford Sci­ence Pub­lic­a­tions. The Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford and New York), 1988. MR 951892 Zbl 0935.​01034 book

M. F. Atiyah: “The in­dex of el­lipt­ic op­er­at­ors,” pp. 475–​498 in Col­lec­ted works, vol. 3: In­dex the­ory 1. Ox­ford Sci­ence Pub­lic­a­tions. Ox­ford Uni­versity Press, 1988. Col­loqui­um Lec­tures (Dal­las, 1973), Amer­ic­an Math­em­at­ic­al So­ci­ety.

M. F. Atiyah: “The fron­ti­er between geo­metry and phys­ics,” Jahresber. Deutsch. Math.-Ver­ein. 91 : 4 (1989), pp. 149–​158. Bul­gari­an trans­la­tion pub­lished in Fiz.-Mat. Spis. 33(66) (1991). MR 1027061 Zbl 0679.​53074 article

M. Atiyah and G. Segal: “On equivari­ant Euler char­ac­ter­ist­ics,” J. Geom. Phys. 6 : 4 (1989), pp. 671–​677. MR 1076708 Zbl 0708.​19004 article

M. F. Atiyah and N. S. Man­ton: “Skyrmi­ons from in­stan­tons,” Phys. Lett. B 222 : 3–​4 (1989), pp. 438–​442. MR 1001325 article

M. F. Atiyah: “The geo­metry and phys­ics of knots,” pp. 1–​17 in Minicon­fer­ence on geo­metry and phys­ics (Can­berra, 20–23 Feb­ru­ary 1989). Edi­ted by M. N. Barber and M. K. Mur­ray. Pro­ceed­ings of the Centre for Math­em­at­ic­al Ana­lys­is 22. Aus­trali­an Na­tion­al Uni­versity (Can­berra), 1989. See also 1990 book of the same title. MR 1027859 Zbl 0696.​57002 incollection

M. F. Atiyah and D. W. An­der­son: \( K \)-the­ory, 2nd edition. Ad­vanced Book Clas­sics. Ad­dis­on-Wes­ley (Red­wood City, CA), 1989. Ori­gin­al edi­tion pub­lished by W. A. Ben­jamin in 1967. MR 1043170 book

M. Atiyah: “The Jones–Wit­ten in­vari­ants of knots,” pp. 7–​16 in Sémin­aire Bourbaki 1989/90. As­térisque 189–​190. So­ciété Math­ématique de France (Par­is), 1990. Ex­posé no. 715. MR 1099870 Zbl 0739.​57001 incollection

M. Atiyah: “New in­vari­ants of 3- and 4-di­men­sion­al man­i­folds,” Us­pekhi Mat. Nauk 45 : 4(274) (1990), pp. 3–​16, 192. Rus­si­an trans­la­tion of art­icle from The math­em­at­ic­al her­it­age of Her­mann Weyl (1988). MR 1075385 Zbl 0709.​57018 article

M. Atiyah: “Quantum field the­ory and low-di­men­sion­al geo­metry,” pp. 1–​13 in Com­mon trends in math­em­at­ics and quantum field the­or­ies (Kyoto Uni­versity, Ja­pan, 17–19 May 1990). Edi­ted by T. Egu­chi, T. In­ami, and T. Mi­wa. Pro­gress of The­or­et­ic­al Phys­ics Sup­ple­ments 102. 1990. MR 1182158 Zbl 0804.​53098 incollection

M. Atiyah: “On fram­ings of 3-man­i­folds,” To­po­logy 29 : 1 (1990), pp. 1–​7. MR 1046621 Zbl 0716.​57011 article

M. Atiyah: “The ico­sa­hed­ron,” Math. Med­ley 18 : 1 (1990), pp. 1–​12. MR 1106158 Zbl 0723.​51001 article

M. Atiyah: The geo­metry and phys­ics of knots. Lezioni Lincee. Cam­bridge Uni­versity Press, 1990. These notes arise from lec­tures presen­ted in Florence un­der the aus­pices of the Ac­ca­demia dei Lincei. Rus­si­an trans­la­tion pub­lished as Geo­met­riya i fiz­ika uzlov (1995). See also Minicon­fer­ence on geo­metry and phys­ics (1989). MR 1078014 Zbl 0729.​57002 book

M. F. Atiyah and L. Jef­frey: “To­po­lo­gic­al Lag­rangi­ans and co­homo­logy,” J. Geom. Phys. 7 : 1 (1990), pp. 119–​136. MR 1094734 Zbl 0721.​58056 article

M. Atiyah: “Hy­per-Kähler man­i­folds,” pp. 1–​13 in Com­plex geo­metry and ana­lys­is (Pisa, 23–27 May 1988). Edi­ted by V. Vil­lani. Lec­ture Notes in Math­em­at­ics 1422. Spring­er (Ber­lin), 1990. MR 1055838 incollection

M. F. Atiyah: “Rep­res­ent­a­tions of braid groups,” pp. 115–​122 in Geo­metry of low-di­men­sion­al man­i­folds (Durham Uni­versity, UK, Ju­ly 1989), vol. 2: Sym­plect­ic man­i­folds and Jones–Wit­ten the­ory. Edi­ted by S. K. Don­ald­son and C. B. Thomas. Lon­don Math­em­at­ic­al So­ci­ety Lec­ture Note Series 151. Cam­bridge Uni­versity Press, 1990. Notes by S. K. Don­ald­son. MR 1171912 Zbl 0735.​57001 incollection

M. Atiyah: “Mag­net­ic mono­poles and the Yang–Bax­ter equa­tions,” pp. 2761–​2774 in To­po­lo­gic­al meth­ods in quantum field the­ory (Trieste, 11–15 June 1990), published as In­ter­nat. J. Mod­ern Phys. A 6 : 16 (1991). MR 1117746 Zbl 0757.​53038 incollection

M. Atiyah: “The European Math­em­at­ic­al So­ci­ety,” pp. 1–​5 in Mis­cel­lanea math­em­at­ica. Edi­ted by P. J. Hilton, F. Hirzebruch, and R. Rem­mert. Spring­er (Ber­lin), 1991. MR 1131114 incollection

M. Atiyah and N. Khitchin: Geo­met­riya i di­n­ami­ka mag­nit­nykh mono­polei [The geo­metry and dy­nam­ics of mag­net­ic mono­poles]. Mir (Mo­scow), 1991. Rus­si­an trans­la­tion of The geo­metry and dy­nam­ics of mag­net­ic mono­poles (1988). MR 1137269 Zbl 0754.​53003 book

M. Atiyah: “On the work of Ed­ward Wit­ten,” pp. 31–​35 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Kyoto, 21–29 Au­gust 1990), vol. 1. Edi­ted by I. Satake. Math­em­at­ic­al So­ci­ety of Ja­pan (Tokyo), 1991. MR 1159202 Zbl 0742.​01013 incollection

M. F. Atiyah: “The fron­ti­er between geo­metry and phys­ics,” Fiz.-Mat. Spis. 33(66) : 1–​2 (1991), pp. 41–​49. Bul­gari­an trans­la­tion from Jahresber. Deutsch. Math.-Ver­ein. 91:4 (1989). MR 1142704 article

M. F. Atiyah: “A new knot in­vari­ant, I,” pp. 1–​9 in To­po­lo­gic­al quantum field the­or­ies and geo­metry of loop spaces (Bud­apest, 25 June–1 Ju­ly 1989). Edi­ted by L. Fe­hér, A. Stip­sicz, and J. Szenthe. World Sci­entif­ic (River Edge, NJ), 1992. MR 1260745 incollection

M. F. Atiyah: “A new knot in­vari­ant, II: To­po­lo­gic­al quantum field the­or­ies and the Jones poly­no­mi­al,” pp. 10–​15 in To­po­lo­gic­al quantum field the­or­ies and geo­metry of loop spaces (Bud­apest, 25 June–1 Ju­ly 1989). Edi­ted by L. Fe­hér, A. Stip­sicz, and J. Szenthe. World Sci­entif­ic (River Edge, NJ), 1992. MR 1260746 incollection

M. F. Atiyah: The mys­ter­ies of space, 1992. Se­lec­ted Lec­tures in Math­em­at­ics. One 60-minute video tape. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI). The 1991 Jo­si­ah Wil­lard Gibbs Lec­ture presen­ted in San Fran­cisco, CA, Janu­ary 1991. MR 1192780 Zbl 0803.​53001 misc

M. F. Atiyah: “Math­em­at­ics and the phys­ic­al world,” pp. 186–​210 in Sym­bol­ien met­sässä [In the forest of sym­bols]. Edi­ted by O. Pekon­en. Art House Osakey­htiö (Hel­sinki), 1992. MR 1444861 incollection

M. Atiyah: “Ad­dress of the pres­id­ent, Sir Mi­chael Atiyah, giv­en at the an­niversary meet­ing on 29 Novem­ber 1991,” Notes and Re­cords Roy. Soc. Lon­don 46 : 1 (1992), pp. 155–​169. MR 1148537 Zbl 0978.​01519 article

M. F. Atiyah: “Math­em­at­ics: Queen and ser­vant of the sci­ences,” Proc. Am. Phil. Soc. 137 : 4 (December 1993), pp. 527–​531. 250th an­niversary is­sue. Re­pub­lished in Asi­an J. Math. 3:1 (1999) and The founders of in­dex the­ory (2009). article

M. F. Atiyah and N. S. Man­ton: “Geo­metry and kin­emat­ics of two skyrmi­ons,” Comm. Math. Phys. 153 : 2 (1993), pp. 391–​422. MR 1218307 Zbl 0778.​53051 article

M. Atiyah: “Math­em­at­ics as a ba­sic sci­ence,” Cur­rent Sci. 65 : 12 (1993), pp. 912–​917. MR 1263343 article

M. F. Atiyah: “Amer­ic­an Philo­soph­ic­al So­ci­ety din­ner ad­dress, 30 April 1993,” Proc. Am. Phil. Soc. 137 : 4 (1993), pp. 704–​707. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. article

M. F. Atiyah: “An­niversary ad­dress by the Pres­id­ent,” Roy­al So­ci­ety News supplement (December 1994), pp. i–​iv, 535–​540. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. See also ver­sion in Notes and Re­cords Roy. Soc. Lon­don 49:1 (1995). article

M. Atiyah, A. Borel, G. J. Chaitin, D. Friedan, J. Glimm, J. J. Gray, M. W. Hirsch, S. MacLane, B. B. Man­del­brot, D. Ruelle, A. Schwarz, K. Uh­len­beck, R. Thom, E. Wit­ten, and C. Zee­man: “Re­sponses to ‘The­or­et­ic­al math­em­at­ics: To­ward a cul­tur­al syn­thes­is of math­em­at­ics and the­or­et­ic­al phys­ics’, by A. Jaffe and F. Quinn,” Bull. Am. Math. Soc., New Ser. 30 : 2 (April 1994), pp. 178–​207. Zbl 0803.​01014 ArXiv math/​9404229 article

M. Atiyah: “Con­tri­bu­tion to the col­lec­ted works of Raoul Bott,” pp. xxix–​xxx in Raoul Bott: Col­lec­ted pa­pers, vol. 2: Dif­fer­en­tial op­er­at­ors. Edi­ted by R. D. MacPh­er­son. Con­tem­por­ary Math­em­aticians. Birkhäuser (Bo­ston), 1994. MR 1290365 incollection

M. Atiyah: Geo­met­riya i fiz­ika uzlov [The geo­metry and phys­ics of knots]. Mir (Mo­scow), 1995. Rus­si­an trans­la­tion of The geo­metry and phys­ics of knots (1990). See also Minicon­fer­ence on geo­metry and phys­ics (1989). MR 1397266 book

M. Atiyah: “Quantum the­ory and geo­metry,” J. Math. Phys. 36 : 11 (1995), pp. 6069–​6072. MR 1355898 Zbl 0860.​58001 article

M. Atiyah: “Quantum phys­ics and the to­po­logy of knots,” pp. 5–​14 in XI-th In­ter­na­tion­al Con­gress of Math­em­at­ic­al Phys­ics (Par­is, 18–23 Ju­ly 1994). Edi­ted by D. Iag­ol­nitzer. In­ter­na­tion­al Press (Cam­bridge, MA), 1995. MR 1370664 Zbl 1052.​57500 incollection

M. F. Atiyah: “Hy­per­bol­ic dif­fer­en­tial equa­tions and al­geb­ra­ic geo­metry (after Pet­rowsky),” pp. 87–​99 in Sémin­aire Bourbaki 10: An­nées 1966/67–1967/68. So­ciété Math­ématique de France (Par­is), 1995. Ex­posé no. 319. Re­pub­lic­a­tion of 1968 ori­gin­al. MR 1610456 incollection

M. F. Atiyah: “Book re­view: ‘Con­ver­sa­tions on mind, mat­ter and math­em­at­ics’,” Times High. Educ. Sup­pl. (29 September 1995). Book by Jean-Pierre Changeux and Alain Connes (Prin­ceton Uni­versity Press, 1995). Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. article

M. Atiyah: “Ad­dress of the Pres­id­ent, Sir Mi­chael Atiyah, O.M., giv­en at the an­niversary meet­ing on 30 Novem­ber 1994,” Notes and Re­cords Roy. Soc. Lon­don 49 : 1 (1995), pp. 141–​151. See also ver­sion in Roy­al So­ci­ety News (Decem­ber 1994). MR 1325201 Zbl 0978.​01520 article

J. Le­bowitz, M. Atiyah, E. Bréz­in, A. Connes, J. Fröh­lich, D. Gross, A. Jaffe, L. Kadan­off, and D. Ruelle: “Round table: Phys­ics and math­em­at­ics,” pp. 691–​705 in XI-th In­ter­na­tion­al Con­gress of Math­em­at­ic­al Phys­ics (Par­is, 18–23 Ju­ly 1994). Edi­ted by D. Iag­ol­nitzer. In­ter­na­tion­al Press (Cam­bridge, MA), 1995. MR 1370725 Zbl 1052.​00520 incollection

M. Atiyah: “Re­flec­tions on geo­metry and phys­ics,” pp. 1–​6 in Sur­veys in dif­fer­en­tial geo­metry: Pro­ceed­ings of the con­fer­ence on geo­metry and to­po­logy (Cam­bridge, MA, 23–25 April 1993). Edi­ted by C.-C. Hsiung and S.-T. Yau. Sur­veys in dif­fer­en­tial geo­metry (Journ­al of Dif­fer­en­tial Geo­metry sup­ple­ments) 2. In­ter­na­tion­al Press (Cam­bridge, MA), 1995. MR 1375254 Zbl 0867.​57031 incollection

M. Atiyah: “The geo­metry of clas­sic­al particles,” pp. 1–​15 in Pro­ceed­ings of the con­fer­ence on geo­metry and to­po­logy held at Har­vard Uni­versity (Cam­bridge, MA, 23–25 April 1993). Edi­ted by C.-C. Hsiung and S.-T. Yau. Sur­veys in Dif­fer­en­tial Geo­metry 2. In­ter­na­tion­al Press (Somerville, MA), 1995. MR 1919420 Zbl 1050.​55502 incollection

M. Atiyah: “Flo­er ho­mo­logy,” pp. 105–​108 in The Flo­er me­mori­al volume. Edi­ted by H. Hofer, C. H. Taubes, A. Wein­stein, and E. Zehnder. Pro­gress in Math­em­at­ics 133. Birkhäuser (Basel), 1995. MR 1362825 Zbl 0837.​58011 incollection

M. Atiyah: “Re­flec­tions on geo­metry and phys­ics,” pp. 423–​428 in Geo­metry, to­po­logy, & phys­ics: Lec­tures of a con­fer­ence in hon­or of Raoul Bott’s 70th birth­day (Har­vard Uni­versity, April 1993). Edi­ted by S.-T. Yau. Con­fer­ence pro­ceed­ings and lec­ture notes in geo­metry and to­po­logy 4. In­ter­na­tion­al Press (Cam­bridge, MA), 1995. MR 1358626 incollection

M. Atiyah: “Geo­metry and phys­ics,” Math. Gaz. 80 : 487 (1996), pp. 78–​82. Zbl 0864.​57003 article

M. Atiyah: “Friedrich Hirzebruch: An ap­pre­ci­ation,” pp. 1–​5 in Pro­ceed­ings of the Hirzebruch 65 con­fer­ence on al­geb­ra­ic geo­metry (Ramat Gan, Is­rael, 2–7 May 1993). Edi­ted by M. Teich­er. Is­rael Math­em­at­ic­al Con­fer­ence Pro­ceed­ings 9. Bar-Il­an Uni­versity (Ramat Gan, Is­rael), 1996. Zbl 0834.​01012 incollection

M. Atiyah, A. Borel, D. Friedan, J. J. Gray, and M. W. Hirsch: “Proofs, phys­ics and things around them,” Pok­roky Mat. Fyz. As­tron. 41 : 2 (1996), pp. 73–​81. In Czech. Zbl 0863.​01010 article

M. F. Atiyah: “The in­dex of el­lipt­ic op­er­at­ors,” pp. 115–​127 in Fields Medal­lists’ lec­tures. Edi­ted by M. F. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. Re­pub­lic­a­tion of notes dis­trib­uted at AMS con­fer­ence (1973). MR 1622942 incollection

M. F. Atiyah: “The work of Serge Novikov,” pp. 195–​197 in Fields Medal­lists’ lec­tures. Edi­ted by M. F. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. MR 1622933 incollection

M. F. Atiyah: “The work of Ed­ward Wit­ten,” pp. 514–​518 in Fields Medal­lists’ lec­tures. Edi­ted by M. F. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. MR 1622921 incollection

M. F. Atiyah: “The work of Si­mon Don­ald­son,” pp. 377–​380 in Fields Medal­lists’ lec­tures. Edi­ted by M. F. Atiyah and D. Iag­ol­nitzer. World Sci­entif­ic Series in 20th Cen­tury Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 1997. MR 1622912 incollection

M. F. Atiyah: “An in­tro­duc­tion to to­po­lo­gic­al quantum field the­or­ies,” pp. 1–​7 in Pro­ceed­ings of Gökova geo­metry-to­po­logy con­fer­ence 1996 (Gökova, Tur­key, 27–31 May 1996), published as Turk­ish J. Math. 21 : 1. Issue edi­ted by S. Ak­bu­lut, T. Önder, and R. J. Stern. Sci­entif­ic and Tech­no­lo­gic­al Re­search Coun­cil of Tur­key (Ank­ara), 1997. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. MR 1456155 Zbl 0890.​57019 incollection

M. Atiyah: “To­po­logy and quantum phys­ics: From knots to quarks,” Bol. Acad. Cienc. Fis. Mat. Nat. 56 : 181–​186 (1997), pp. 15–​20. Zbl 1072.​81504 article

M. Atiyah: “Geo­metry and phys­ics: Where are we go­ing?,” pp. 1–​7 in Geo­metry and phys­ics (Aar­hus, Den­mark, 1995). Edi­ted by J. E. An­der­sen, J. Dupont, H. Ped­er­son, and A. Swann. Lec­ture Notes in Pure and Ap­plied Math­em­at­ics 184. Mar­cel Dek­ker (New York), 1997. MR 1423153 Zbl 0865.​53063 incollection

M. F. Atiyah: “The Dir­ac equa­tion and geo­metry,” pp. 108–​124 in A. Pais, M. Jac­ob, D. I. Olive, and M. F. Atiyah: Paul Dir­ac: The man and his work. Edi­ted by P. God­dard. Cam­bridge Uni­versity Press, 1998. MR 1606723 incollection

M. Atiyah: “Du­al­ity and quantum field the­ory,” pp. 1–​7 in Top­ics in sym­plect­ic 4-man­i­folds (Irvine, CA, 28–30 March 1996). Edi­ted by R. J. Stern. First In­ter­na­tion­al Press Lec­ture Series 1. In­ter­na­tion­al Press (Cam­bridge, MA), 1998. MR 1635693 Zbl 0927.​57031 incollection

A. Pais, M. Jac­ob, D. I. Olive, and M. F. Atiyah: Paul Dir­ac: The man and his work. Edi­ted by P. God­dard. Cam­bridge Uni­versity Press, 1998. MR 1611403 Zbl 0917.​01032 book

M. Atiyah: “Ro­ger Pen­rose: A per­son­al ap­pre­ci­ation,” pp. 3–​7 in The geo­met­ric uni­verse (Ox­ford, June 1996). Edi­ted by S. A. Hug­gett, L. J. Ma­son, K. P. Tod, S. Tsou, and N. M. J. Wood­house. Ox­ford Uni­versity Press (New York), 1998. MR 1634501 Zbl 0904.​01010 incollection

M. F. Atiyah: “Ob­it­u­ary: John Ar­thur Todd,” Bull. Lon­don Math. Soc. 30 : 3 (1998), pp. 305–​316. MR 1608134 Zbl 0927.​01042 article

M. Atiyah: “Math­em­at­ics and the real world,” pp. 807–​812 in Cur­rent and fu­ture chal­lenges in the ap­plic­a­tions of math­em­at­ics, published as Quart. Ap­pl. Math. 56 : 4 (1998). MR 1668728 Zbl 1159.​00312 incollection

M. Atiyah: “Math­em­at­ics: Queen and ser­vant of the sci­ences,” pp. xxiii–​xxvi in Sir Mi­chael Atiyah: A great math­em­atician of the twen­ti­eth cen­tury, published as Asi­an J. Math. 3 : 1 (1999). Re­pub­lished from Proc. Am. Phil. Soc. 137:4 (1993). See also The founders of in­dex the­ory (2009). Zbl 0957.​01038 incollection

M. F. Atiyah: “Ob­it­u­ary: Kuni­hiko Kodaira,” Bull. Lon­don Math. Soc. 31 : 4 (1999), pp. 489–​493. MR 1687532 Zbl 0928.​01020 article

M. Atiyah: “The con­science of sci­ence,” pp. xxvii–​xxxviii in Sir Mi­chael Atiyah: A great math­em­atician of the twen­ti­eth cen­tury, published as Asi­an J. Math. 3 : 1. In­ter­na­tion­al Press (Somerville, MA), 1999. Schrödinger lec­ture, giv­en at Im­per­i­al Col­lege, March 18th, 1997. Zbl 0957.​01039 incollection

M. Atiyah: “Phys­ics and geo­metry: A look at the last twenty years,” pp. 1–​8 in Al­geb­ra­ic geo­metry: Hirzebruch 70 (Warsaw, 11–16 May 1998). Edi­ted by P. Pragacz, M. Szurek, and J. Wiśniewski. Con­tem­por­ary Math­em­at­ics 241. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1999. MR 1718133 Zbl 0945.​14026 incollection

M. Atiyah: “Geo­metry and phys­ics in the 20th cen­tury,” pp. 1–​9 in The math­em­at­ic­al sci­ences after the year 2000 (Beirut, 11–15 Janu­ary 1999). Edi­ted by K. Bit­ar, A. Chamsed­dine, and W. Sabra. World Sci­entif­ic (River Edge, NJ), 2000. MR 1799435 Zbl 0994.​01011 incollection

M. Atiyah: “Some per­son­al re­min­is­cences,” pp. 257–​267 in Ox­ford fig­ures. Edi­ted by J. Fauvel, R. Flood, and R. J. Wilson. Ox­ford Uni­versity Press (New York), 2000. MR 1750206 incollection

M. F. Atiyah: “Pre­face” in Math­em­at­ics: Fron­ti­ers and per­spect­ives. Edi­ted by V. Arnold, M. Atiyah, P. Lax, and B. Mazur. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2000. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. incollection

M. Atiyah: “100 years of math­em­at­ics,” Nor­mat 48 : 3 (2000), pp. 123–​126, 144. MR 1811714 Zbl 0969.​01015 article

M. Atiyah: Equivari­ant co­homo­logy and rep­res­ent­a­tions of the sym­met­ric group. Pre­print, 2000. ArXiv math/​0012215 techreport

M. Atiyah: “Math­em­at­ics in the 20th cen­tury,” Amer. Math. Mon. 108 : 7 (2001), pp. 654–​666. See also ver­sions in Math. Today 37:2 (2001), Con­tem­por­ary trends in al­geb­ra­ic geo­metry and al­geb­ra­ic to­po­logy (2002), N.T.M. 10:1 (2002), Bull. Lond. Math. Soc. 34:1 (2002), Wia­dom. Mat. 39 (2003) and Adv. Math. (China) 33:1 (2004). MR 1862105 Zbl 1081.​01502 article

M. Atiyah: “Math­em­at­ics in the 20th cen­tury,” Math. Today 37 : 2 (2001), pp. 46–​53. See also ver­sions in Amer. Math. Mon. 108:7 (2001), Con­tem­por­ary trends in al­geb­ra­ic geo­metry and al­geb­ra­ic to­po­logy (2002), N.T.M. 10:1 (2002), Bull. Lond. Math. Soc. 34:1 (2002), Wia­dom. Mat. 39 (2003) and Adv. Math. (China) 33:1 (2004). MR 1840757 article

M. Atiyah, J. Mal­da­cena, and C. Vafa: “An M-the­ory flop as a large \( N \) du­al­ity,” J. Math. Phys. 42 : 7 (2001), pp. 3209–​3220. MR 1840340 Zbl 1061.​81056 article

M. Atiyah: “Con­fig­ur­a­tions of points,” pp. 1375–​1387 in To­po­lo­gic­al meth­ods in the phys­ic­al sci­ences (Lon­don, 2000), published as R. Soc. Lond. Philos. Trans. Ser. A 359 : 1784 (July 2001). MR 1853626 Zbl 1037.​58007 incollection

M. Atiyah: “Equivari­ant co­homo­logy and rep­res­ent­a­tions of the sym­met­ric group,” Chinese Ann. Math. Ser. B 22 : 1 (2001), pp. 23–​30. MR 1823127 Zbl 1057.​20007 article

M. Atiyah: “\( K \)-the­ory past and present,” pp. 411–​417 in Sitzungs­berichte der Ber­liner Math­em­at­ischen Gesell­schaft, 1997–2000. Ber­liner Math­em­at­ischen Gesell­schaft, 2001. MR 2091892 Zbl 1061.​19500 ArXiv math/​0012213 incollection

M. Atiyah: “Math­em­at­ics in the 20th cen­tury,” pp. 1–​21 in Con­tem­por­ary trends in al­geb­ra­ic geo­metry and al­geb­ra­ic to­po­logy (Tianjin, China, 9–13 Oc­to­ber 2000). Edi­ted by S.-S. Chern, L. Fu, and R. M. Hain. Nankai Tracts in Math­em­at­ics 5. World Sci­entif­ic (River Edge, NJ), 2002. See also ver­sions in Amer. Math. Mon. 108:7 (2001), Math. Today 37:2 (2001), N.T.M. 10:1 (2002), Bull. Lond. Math. Soc. 34:1 (2002), Wia­dom. Mat. 39 (2003) and Adv. Math. (China) 33:1 (2004). MR 1945353 Zbl 1038.​01014 incollection

M. Atiyah: “On the un­reas­on­able ef­fect­ive­ness of phys­ics in math­em­at­ics,” pp. 25–​38 in High­lights of math­em­at­ic­al phys­ics (Lon­don, 17–22 Ju­ly 2000). Edi­ted by A. S. Fo­kas, J. Hal­li­well, T. Kibble, and B. Zegar­l­in­ski. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2002. MR 2001571 Zbl 1150.​00002 incollection

M. Atiyah: “Math­em­at­ics in the 20th cen­tury,” Bull. Lond. Math. Soc. 34 : 1 (2002), pp. 1–​15. See also ver­sions in Amer. Math. Mon. 108:7 (2001), Math. Today 37:2 (2001), Con­tem­por­ary trends in al­geb­ra­ic geo­metry and al­geb­ra­ic to­po­logy (2002), N.T.M. 10:1 (2002), Wia­dom. Mat. 39 (2003), Adv. Math. (China) 33:1 (2004). MR 1866422 Zbl 1022.​01007 article

M. Atiyah and P. Sutcliffe: “The geo­metry of point particles,” R. Soc. Lond. Proc. Ser. A 458 : 2021 (2002), pp. 1089–​1115. MR 1902577 Zbl 1010.​58015 article

M. Atiyah: “Math­em­at­ics in the 20th cen­tury,” N.T.M. (N.S.) 10 : 1 (2002), pp. 25–​39. See also ver­sions in Amer. Math. Mon. 108:7 (2001), Math. Today 37:2 (2001), Con­tem­por­ary trends in al­geb­ra­ic geo­metry and al­geb­ra­ic to­po­logy (2002), Bull. Lond. Math. Soc. 34:1 (2002), Wia­dom. Mat. 39 (2003) and Adv. Math. (China) 33:1 (2004). MR 1894494 Zbl 0991.​01015 article

M. F. Atiyah: “Her­mann Weyl: 1885–1955,” Biog. Mem. Nat. Acad. Sci. 82 (2002), pp. 3–​17. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. article

M. Atiyah: The Mil­len­ni­um prize prob­lems, 2002. 60-minute video­tape, Spring­er Video­MATH. From the CMI Mil­len­ni­um Meet­ing Col­lec­tion (Collège de France, Par­is, 24–25 May 2000). Atiyah gives a lec­ture on the Navi­er–Stokes equa­tions. MR 2015194 Zbl 1093.​00003 misc

M. Atiyah and E. Wit­ten: “\( M \)-the­ory dy­nam­ics on a man­i­fold of \( G_2 \) holonomy,” Adv. The­or. Math. Phys. 6 : 1 (2002), pp. 1–​106. MR 1992874 Zbl 1033.​81065 article

M. Atiyah and R. Bielawski: “Nahm’s equa­tions, con­fig­ur­a­tion spaces and flag man­i­folds,” Bull. Braz. Math. Soc. (N.S.) 33 : 2 (2002), pp. 157–​176. MR 1940347 Zbl 1022.​22007 ArXiv math/​0110112 article

M. Atiyah: “Math­em­at­ics in the 20th cen­tury,” Wia­dom. Mat. 39 (2003), pp. 47–​63. Pol­ish trans­la­tion of Bull. Lond. Math. Soc. 34:1 (2002). See also ver­sions in Amer. Math. Mon. 108:7 (2001), Math. Today 37:2 (2001), Con­tem­por­ary trends in al­geb­ra­ic geo­metry and al­geb­ra­ic to­po­logy (2002), N.T.M. 10:1 (2002) and Adv. Math. (China) 33:1 (2004). MR 2043772 article

M. Atiyah and J. Berndt: “Pro­ject­ive planes, Severi vari­et­ies and spheres,” pp. 1–​27 in Sur­veys in dif­fer­en­tial geo­metry: Lec­tures on geo­metry and to­po­logy held in hon­or of Calabi, Lawson, Siu, and Uh­len­beck (Har­vard Uni­versity, 3–5 May 2002). Edi­ted by S.-T. Yau. Sur­veys in Dif­fer­en­tial Geo­metry (Journ­al of Dif­fer­en­tial Geo­metry sup­ple­ments) 8. In­ter­na­tion­al Press (Somerville, MA), 2003. MR 2039984 Zbl 1057.​53040 ArXiv math/​0206135 incollection

M. Atiyah and P. Sutcliffe: “Poly­hedra in phys­ics, chem­istry and geo­metry,” Mil­an J. Math. 71 : 1 (2003), pp. 33–​58. MR 2120915 Zbl 1050.​52002 article

M. Atiyah: “The geo­metry be­hind some string the­ory du­al­it­ies,” pp. 89–​108 in UK-Ja­pan Winter School 2004: Geo­metry and ana­lys­is to­wards quantum the­ory. Edi­ted by M. A. Guest, Y. Maeda, K. G. Daigaku, and S. Kōgak­uka. Keio Uni­versity (Yoko­hama), 2004. MR 2131366 incollection

M. Atiyah: Col­lec­ted works, vol. 6. Ox­ford Sci­ence Pub­lic­a­tions. The Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford, New York), 2004. MR 2160826 Zbl 1099.​01024 book

M. Atiyah and M. Hop­kins: “A vari­ant of \( K \)-the­ory: \( K_\pm \),” pp. 5–​17 in To­po­logy, geo­metry and quantum field the­ory (Ox­ford, 24–29 June 2002). Edi­ted by U. Till­mann. Cam­bridge Uni­versity Press, 2004. MR 2079369 Zbl 1090.​19004 incollection

M. F. Atiyah: “Bakeri­an Lec­ture, 1975: Glob­al geo­metry,” Amer. Math. Mon. 111 : 8 (2004), pp. 716–​723. Re­pub­lished from Proc. Roy. Soc. Lon­don Ser. A 347:1650 (1976). MR 2091548 Zbl 1187.​58001 article

M. F. Atiyah: “The geo­metry and phys­ics of knots,” pp. 289–​304 in Col­lec­ted works, vol. 6. Ox­ford Sci­ence Pub­lic­a­tions. Clar­en­don Press and Ox­ford Uni­versity Press (Ox­ford, New York), 2004. See also Minicon­fer­ence on geo­metry and phys­ics (1989), the 1990 book of the same title and the Rus­si­an trans­la­tion Geo­met­riya i fiz­ika uzlov (1995). incollection

M. Atiyah: “Math­em­at­ics in the 20th cen­tury,” Adv. Math. (China) 33 : 1 (2004), pp. 26–​40. See also ver­sions in Amer. Math. Mon. 108:7 (2001), Math. Today 37:2 (2001), Con­tem­por­ary trends in al­geb­ra­ic geo­metry and al­geb­ra­ic to­po­logy (2002), N.T.M. 10:1 (2002), Bull. Lond. Math. Soc. 34:1 (2002) and Wia­dom. Mat. 39 (2003). MR 2058440 article

M. Atiyah: “The im­pact of Thom’s cobor­d­ism the­ory,” Bull. Amer. Math. Soc. (N.S.) 41 : 3 (2004), pp. 337–​340. MR 2058290 Zbl 1049.​57500 article

M. Atiyah and G. Segal: “Twis­ted \( K \)-the­ory,” Ukr. Mat. Visn. 1 : 3 (2004), pp. 287–​330. MR 2172633 Zbl 1151.​55301 article

M. Atiyah: “Ein­stein and geo­metry,” Cur­rent Sci. 89 : 12 (2005), pp. 2041–​2044. See also The leg­acy of Al­bert Ein­stein (2007). MR 2189856 article

A. Bundy, D. Mack­en­zie, M. Atiyah, and A. Macintyre: “Ab­stracts of ad­di­tion­al present­a­tions made at the Roy­al So­ci­ety Dis­cus­sion Meet­ing ‘The nature of math­em­at­ic­al proof’,” Philos. Trans. R. Soc. Lond., Ser. A 363 : 1835 (2005), pp. 2461.

M. Atiyah: “The in­ter­ac­tion between geo­metry and phys­ics,” pp. 1–​15 in The unity of math­em­at­ics (Cam­bridge, MA, 31 Au­gust–4 Septem­ber 2003). Edi­ted by P. I. Ètin­gof, V. Re­takh, and I. M. Sing­er. Pro­gress in Math­em­at­ics 244. Birkhäuser (Bo­ston, MA), 2006. MR 2181802 Zbl 1118.​58002 incollection

M. Atiyah: “Math­em­at­ics: Art and sci­ence,” Bull. Amer. Math. Soc. (N.S.) 43 : 1 (2006), pp. 87–​88. MR 2201551 Zbl 1121.​00307 article

M. Atiyah and G. Segal: “Twis­ted \( K \)-the­ory and co­homo­logy,” pp. 5–​43 in In­spired by S. S. Chern. Edi­ted by P. Grif­fiths. Nankai Tracts in Math­em­at­ics 11. World Sci­entif­ic (Hack­en­sack, NJ), 2006. MR 2307274 Zbl 1138.​19003 ArXiv math/​0510674 incollection

M. Atiyah: “Ein­stein and geo­metry,” pp. 15–​23 in The leg­acy of Al­bert Ein­stein. Edi­ted by S. R. Wa­dia. World Sci­entif­ic (Hack­en­sack, NJ), 2007. See also Cur­rent Sci. 89:12 (2005). MR 2330810 Zbl 1136.​01012 incollection

M. F. Atiyah: Siamo tutti matem­atici [We are all math­em­aticians]. Di Renzo Ed­itore (Rome), 2007. In Itali­an. book

M. Atiyah: “Pre­face,” pp. xvii in From prob­ab­il­ity to geo­metry, vol. I. Edi­ted by X. Dai. As­térisque 327. Socíeté Math­ématique de France (Par­is), 2009. Volume in hon­or of the 60th birth­day of Jean-Michel Bis­mut. MR 2642355 incollection

M. F. Atiyah: “A per­son­al his­tory,” pp. 5–​15 in The founders of in­dex the­ory: Re­min­is­cences of and about Sir Mi­chael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Sing­er, 2nd edition. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2009. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 6. incollection

M. Atiyah: Ed­in­burgh lec­tures on geo­metry, ana­lys­is and phys­ics. Pre­print, Uni­versity of Ed­in­burgh, 2010. ArXiv 1009.​4827 techreport

M. Atiyah: “The art of math­em­at­ics,” No­tices Amer. Math. Soc. 57 : 1 (2010), pp. 8. MR 2590111 article

M. Atiyah: “Work­ing with Raoul Bott: From geo­metry to phys­ics,” pp. 51–​61 in A cel­eb­ra­tion of the math­em­at­ic­al leg­acy of Raoul Bott (Mon­tréal, QC, 9–13 June 2008). Edi­ted by P. R. Ko­ti­uga. CRM Pro­ceed­ings & Lec­ture Notes 50. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 2010. MR 2648885 Zbl 1195.​01022 incollection

M. Atiyah: “Ob­it­u­ary: Raoul Harry Bott, FRS, 1923–2005,” Bull. Lond. Math. Soc. 42 : 1 (2010), pp. 170–​180. Re­pub­lic­a­tion of an art­icle in Bio­gr. Mems Fell. R. Soc. 53 (2007). MR 2586977 Zbl 1181.​01039 article

M. Atiyah: “Math­em­at­ic­al work of Nigel Hitchin,” pp. 11–​16 in The many fa­cets of geo­metry. Edi­ted by O. Gar­cía-Pra­da, J. P. Bour­guignon, and S. Sala­mon. Ox­ford Uni­versity Press (New York), 2010. MR 2681683 Zbl 1206.​01039 incollection

J.-P. Serre and M. Atiyah: “A trib­ute to Henri Cartan,” No­tices Amer. Math. Soc. 57 : 8 (2010), pp. 946–​950. MR 2667491 Zbl 1195.​01081 article

M. Atiyah, R. Dijk­graaf, and N. Hitchin: “Geo­metry and phys­ics,” Philos. Trans. R. Soc. Lond. Ser. A 368 : 1914 (2010), pp. 913–​926. MR 2587923 Zbl pre05764159 article

M. Atiyah and G. W. Moore: “A shif­ted view of fun­da­ment­al phys­ics,” pp. 1–​15 in Sur­veys in dif­fer­en­tial geo­metry, XV: Per­spect­ives in math­em­at­ics and phys­ics. Edi­ted by T. Mrowka and S.-T. Yau. Surv. Dif­fer. Geom. 15. Int. Press (Somerville, MA), 2011. MR 2815723 Zbl 1238.​83047 ArXiv 1009.​3176 incollection

M. F. Atiyah, N. S. Man­ton, and B. J. Schro­ers: “Geo­met­ric mod­els of mat­ter,” Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 468 : 2141 (2012), pp. 1252–​1279. MR 2910348 Zbl 1364.​53046 ArXiv 1108.​5151 article