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Celebratio Mathematica

Michael F. Atiyah

Geometry

Works of Michael Atiyah

[1]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

[2]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

[3]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

[4]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

[5]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

[6]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

[7]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

[8]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

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

[10]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

[11]M. F. Atiyah and F. Hirzebruch: “Riemann–Roch the­or­ems for dif­fer­en­ti­able man­i­folds,” Bull. Amer. Math. Soc. 65 : 4 (1959), pp. 276–​281. MR 0110106 Zbl 0142.​40901 article

[12]M. F. Atiyah and F. Hirzebruch: “Quelques théorèmes de non-plonge­ment pour les var­iétés différen­ti­ables” [Some the­or­ems of non-im­mer­sion for dif­fer­en­ti­able man­i­folds], Bull. Soc. Math. France 87 (1959), pp. 383–​396. See also Col­loques Int. Centre Nat. Rech. Sci. 89 (1960). MR 0114231 article

[13]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

[14]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

[15]M. F. Atiyah and F. Hirzebruch: “Vec­tor bundles and ho­mo­gen­eous spaces,” pp. 7–​38 in Dif­fer­en­tial geo­metry. Edi­ted by C. B. Al­lendo­er­fer. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 3. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1961. MR 0139181 Zbl 0108.​17705 incollection

[16]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

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

[18]M. F. Atiyah and F. Hirzebruch: “Co­homo­lo­gie-Op­er­a­tion­en und charak­ter­istische Klassen,” Math. Z. 77 : 1 (1961), pp. 149–​187. MR 0156361 Zbl 0109.​16002 article

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

[20]M. F. Atiyah and F. Hirzebruch: “Bott peri­od­icity and the par­al­lel­iz­ab­il­ity of the spheres,” Proc. Cam­bridge Philos. Soc. 57 (1961), pp. 223–​226. MR 0126282 Zbl 0108.​35902 article

[21]M. F. Atiyah and F. Hirzebruch: “Charak­ter­istische Klassen und An­wendun­gen,” En­sei­gne­ment Math. (2) 7 (1961), pp. 188–​213. MR 0154294 Zbl 0104.​39801 article

[22]M. F. Atiyah and F. Hirzebruch: “The Riemann–Roch the­or­em for ana­lyt­ic em­bed­dings,” To­po­logy 1 : 2 (1962), pp. 151–​166. MR 0148084 Zbl 0108.​36402 article

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

[24]M. F. Atiyah and F. Hirzebruch: “Ana­lyt­ic cycles on com­plex man­i­folds,” To­po­logy 1 (1962), pp. 25–​45. MR 0145560 Zbl 0108.​36401 article

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

[26]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

[27]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors on com­pact man­i­folds,” Bull. Amer. Math. Soc. 69 (1963), pp. 422–​433. Re­prin­ted in Sémin­aire Bourbaki. 15e an­née: 1962/63 (1964) and Sémin­aire Bourbaki 8 (1995). MR 0157392 Zbl 0118.​31203 article

[28]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

[29]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

[30]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

[31]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

[32]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

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

[34]Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em. Edi­ted by R. S. Pal­ais. An­nals of Math­em­at­ics Stud­ies 57. Prin­ceton Uni­versity Press, 1965. With con­tri­bu­tions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. See­ley, W. Shih and R. So­lovay. This de­scribes the ori­gin­al proof of the in­dex the­or­em. (Atiyah and Sing­er nev­er pub­lished their ori­gin­al proof them­selves, but only im­proved ver­sions of it.). Rus­si­an trans­la­tion pub­lished as Sem­in­ar po teor­eme At’i–Zingera ob in­dekse (1970). See also a sim­il­arly-titled art­icle in Dif­fer­en­tial ana­lys­is (1964). MR 0198494 Zbl 1103.​58013 book

[35]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

[36]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

[37]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

[38]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

[39]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

[40]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

[41]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

[42]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

[43]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

[44]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

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

[46]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

[47]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

[48]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

[49]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

[50]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, I,” Ann. Math. (2) 87 : 3 (1968), pp. 484–​530. Rus­si­an trans­la­tion pub­lished in Usp. Mat. Nauk 23:5(143) (1968). MR 0236950 Zbl 0164.​24001 article

[51]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, III,” Ann. Math. (2) 87 : 3 (1968), pp. 546–​604. Rus­si­an trans­la­tion pub­lished in Us­pehi Mat. Nauk 24:1(145) (1969). MR 0236952 Zbl 0164.​24301 article

[52]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

[53]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, I,” Us­pehi Mat. Nauk 23 : 5 (143) (1968), pp. 99–​142. Rus­si­an trans­la­tion of art­icle from Ann. Math. 87:3 (1968). MR 0232402 article

[54]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

[55]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

[56]H. Cartan: “L’œuvre de Mi­chael F. Atiyah” [The works of Mi­chael F. Atiyah], pp. 9–​14 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Mo­scow, 16–26 Au­gust 1966), vol. 1. Mir (Mo­scow), 1968. Re­pub­lished in Fields Medal­lists’ lec­tures (1997). MR 0233370 incollection

[57]M. F. Atiyah: “Hy­per­bol­ic dif­fer­en­tial equa­tions and al­geb­ra­ic geo­metry (after Pet­rowsky),” pp. 87–​99 in Sémin­aire Bourbaki 1966/1967. W. A. Ben­jamin (New York and Am­s­ter­dam), 1968. Ex­posé no. 319. Re­pub­lished in 1995. Zbl 0201.​12501 incollection

[58]M. F. Atiyah and I. M. Sing­er: “In­dex the­ory for skew-ad­joint Fred­holm op­er­at­ors,” Inst. Hautes Études Sci. Publ. Math. 37 : 1 (January 1969), pp. 5–​26. MR 0285033 Zbl 0194.​55503 article

[59]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

[60]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

[61]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

[62]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

[63]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

[64]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, III,” Us­pehi Mat. Nauk 24 : 1 (145) (1969), pp. 127–​182. Rus­si­an trans­la­tion of art­icle in Ann. Math. 87:3 (1968). MR 0256417 article

[65]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

[66]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

[67]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

[68]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

[69]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. Edi­ted by A. Hae­fli­ger and R. Narasim­han. Spring­er (New York), 1970. MR 0278334 Zbl 0193.​52401 incollection

[70]Sem­in­ar po teor­eme At’i–Zingera ob in­dekse [Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em]. Edi­ted by R. S. Pal­ais and A. S. Dyn­in. Mir (Mo­scow), 1970. Rus­si­an trans­la­tion of Sem­in­ar on the Atiyah–Sing­er in­dex the­or­em (1965). MR 0394769 book

[71]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

[72]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

[73]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

[74]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

[75]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

[76]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

[77]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

[78]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, V,” Ann. Math. (2) 93 : 1 (1971), pp. 139–​149. Rus­si­an trans­la­tion pub­lished in Us­pehi Mat. Nauk 27:4(166) (1972). MR 0279834 article

[79]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, IV,” Ann. Math. (2) 93 : 1 (1971), pp. 119–​138. Rus­si­an trans­la­tion pub­lished in Us­pehi Mat. Nauk 27:4(166) (1972). MR 0279833 article

[80]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

[81]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

[82]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, IV,” Us­pehi Mat. Nauk 27 : 4(166) (1972), pp. 161–​178. Rus­si­an trans­la­tion of Ann. Math. 93:1 (1971). MR 0385933 article

[83]M. F. Atiyah and I. M. Sing­er: “The in­dex of el­lipt­ic op­er­at­ors, V,” Usp. Mat. Nauk 27 : 4(166) (1972), pp. 179–​188. Rus­si­an trans­la­tion of Ann. Math. 93:1 (1971). Zbl 0237.​58018 article

[84]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

[85]M. F. Atiyah: “The role of al­geb­ra­ic to­po­logy in math­em­at­ics,” pp. 74–​83 in Geo­met­rie. Edi­ted by K. Strubeck­er. Wege der Forschung 177. Wis­senschaft­liche Buchgesell­schaft (Darm­stad), 1972. See also J. Lon­don Math. Soc. 41:1 (1966). incollection

[86]M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry,” Bull. Lon­don Math. Soc. 5 : 2 (1973), pp. 229–​234. MR 0331443 Zbl 0268.​58010 article

[87]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

[88]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

[89]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

[90]M. F. Atiyah: The in­dex of el­lipt­ic op­er­at­ors, 1973. Notes dis­trib­uted at sev­enty-ninth an­nu­al meet­ing of the Amer­ic­an Math­em­at­ic­al So­ci­ety, Dal­las, TX, 25–28 Janu­ary 1973. Re­pub­lished in Atiyah’s Col­lec­ted works, vol. 3, pp. 475–498. Re­pub­lished in Fields Medal­lists’ lec­tures (1997). Zbl 0263.​58012 misc

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

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

[93]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

[94]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

[95]M. F. Atiyah: “Wan­del und Forts­ch­ritt in der Math­em­atik,” pp. 202–​218 in Math­em­atiker über die Math­em­atik. Edi­ted by M. Otte. Wis­senschaft und Öf­fent­lich­keit. Spring­er (Ber­lin), 1974. Re­pub­lished from Bild der Wis­senschaft 4 (1969). incollection

[96]M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, II,” Math. Proc. Cam­bridge Philos. Soc. 78 : 3 (1975), pp. 405–​432. MR 0397798 Zbl 0314.​58016 article

[97]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

[98]M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, I,” Math. Proc. Cam­bridge Philos. Soc. 77 : 1 (1975), pp. 43–​69. MR 0397797 Zbl 0297.​58008 article

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

[100]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

[101]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

[102]M. F. Atiyah: “Wil­li­am Val­lance Douglas Hodge 1903–1975,” Biog. Mem. Fel­lows Roy. Soc. Lond. 22 (1976), pp. 169–​192. Re­pub­lished in Col­lec­ted works, vol. 1 and with modi­fic­a­tions in Bull. Lon­don Math. Soc. 9:1 (1977). article

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

[104]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 0397799 Zbl 0325.​58015 article

[105]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

[106]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

[107]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

[108]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

[109]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

[110]M. F. Atiyah, N. J. Hitchin, and I. M. Sing­er: “De­form­a­tions of in­stan­tons,” Proc. Nat. Acad. Sci. U.S.A. 74 : 7 (1977), pp. 2662–​2663. MR 0458424 Zbl 0356.​58011 article

[111]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

[112]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

[113]R. C. Kirby and L. C. Sieben­mann: Found­a­tion­al es­says on to­po­lo­gic­al man­i­folds, smooth­ings, and tri­an­gu­la­tions. An­nals of Math­em­at­ics Stud­ies 88. Prin­ceton Uni­versity Press, 1977. With notes by John Mil­nor and Mi­chael Atiyah. MR 0645390 Zbl 0361.​57004 book

[114]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

[115]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

[116]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 (1978), pp. 425–​461. MR 506229 Zbl 0389.​53011 article

[117]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

[118]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

[119]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

[120]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

[121]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

[122]Rep­res­ent­a­tion the­ory of Lie groups: Pro­ceed­ings of SRC/LMS re­search sym­posi­um. Edi­ted by G. L. Luke. Lon­don Math­em­at­ic­al So­ci­ety Lec­ture Note Series 34. Cam­bridge Uni­versity Press, 1979. Atiyah provided the in­tro­duc­tion (pp. 1–4) as well as a pa­per. MR 568880 book

[123]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

[124]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

[125]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

[126]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

[127]M. F. Atiyah: “In­tro­duc­tion” 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. Cam­bridge Uni­versity Press, 1979. incollection

[128]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

[129]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

[130]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

[131]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

[132]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

[133]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

[134]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

[135]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

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

[137]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

[138]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

[139]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

[140]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

[141]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 (1982), pp. 5751. MR 674920 Zbl 0503.​12007 article

[142]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

[143]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

[144]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

[145]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 (1983), pp. 131–​177. An ad­dendum was pub­lished in Ann. Math. 119:3 (1984). MR 707164 Zbl 0531.​58048 article

[146]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

[147]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

[148]R. Minio: “An in­ter­view with Mi­chael Atiyah,” Math. In­tel­li­gen­cer 6 : 1 (1984), pp. 9–​19. Slov­e­ni­an trans­la­tion pub­lished in Obzornik Mat. Fiz. 31:5–6 (1984). Czech trans­la­tion pub­lished in Pok­roky Mat. Fyz. As­tro­nom. 31:3 (1986). MR 735359 article

[149]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

[150]R. Minio: “An in­ter­view with Mi­chael Atiyah,” Obzornik Mat. Fiz. 31 : 5–​6 (1984), pp. 129–​142. Slov­e­ni­an trans­la­tion of art­icle in Math. In­tell. 6:1 (1984). MR 782244 article

[151]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

[152]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

[153]Math­em­at­ic­al lo­gic and pro­gram­ming lan­guages.” Edi­ted by C. A. R. Hoare and J. C. Shep­herd­son. Philos. Trans. R. Soc. Lond., Ser. A 312 : 1522 (1984), pp. 343–​518. Pro­ceed­ings of a Roy­al So­ci­ety dis­cus­sion meet­ing or­gan­ised by Atiyah and the ed­it­ors. Re­pub­lished as a book by Pren­tice-Hall in 1985. MR 776262 article

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

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

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

[157]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

[158]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

[159]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

[160]M. F. Atiyah: “Rivoluzione in­form­at­ica e matem­at­ica” [Math­em­at­ics and the com­puter re­volu­tion], Nuova Civiltà della Mac­chine 2 : 3 (1984), pp. 27–​32. Itali­an trans­la­tion of a lec­ture giv­en at the Lo­c­arno Con­fer­ence “1984: Comin­cia il fu­turo” (May 1984), pub­lished in The in­flu­ence of com­puters and in­form­at­ics on math­em­at­ics and its teach­ing (1986). article

[161]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

[162]New de­vel­op­ments in the the­ory and ap­plic­a­tion of solitons (Novem­ber 1–2, 1984), published as Philos. Trans. Roy. Soc. Lon­don Ser. A 315 : 533. Issue edi­ted by M. Atiyah, J. D. Gib­bon, and G. Wilson. Roy­al So­ci­ety (Lon­don), 1985. MR 836736, 940035 book

[163]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

[164]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

[165]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

[166]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

[167]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

[168]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

[169]Math­em­at­ic­al lo­gic and pro­gram­ming lan­guages (Lon­don, 15–16 Feb­ru­ary 1984). Edi­ted by C. A. R. Hoare and J. C. Shep­herd­son. In­ter­na­tion­al Series in Com­puter Sci­ence. Pren­tice-Hall (Engle­wood Cliffs, NJ), 1985. Pro­ceed­ings of a Roy­al So­ci­ety dis­cus­sion meet­ing or­gan­ised by Atiyah and the ed­it­ors. Re­pub­lished from Philos. Trans. Roy. Soc. Lon­don Ser. A 1522 (1984). Zbl 0626.​68003 book

[170]M. Atiyah, J. D. Gib­bon, and G. Wilson: “New de­vel­op­ments in the the­ory and ap­plic­a­tion of solitons,” Philos. Trans. Roy. Soc. Lon­don Ser. A 315 : 533 (1985), pp. 333–​469. A dis­cus­sion or­gan­ized and ed­ited by Mi­chael Atiyah, J. D. Gib­bon and G. Wilson, held on 1–2 Novem­ber 1984. Also pub­lished as a book in 1985. MR 836736 article

[171]New de­vel­op­ments in the the­ory and ap­plic­a­tion of solitons (Lon­don, 1–2 Novem­ber 1984). Edi­ted by M. Atiyah, J. D. Gib­bon, and G. Wilson. Roy­al So­ci­ety (Lon­don), 1985. Pro­ceed­ings of a Roy­al So­ci­ety dis­cus­sion meet­ing. Re­pub­lic­a­tion of an art­icle in Philos. Trans. Roy. Soc. Lon­don 315:533 (1985). MR 940035 book

[172]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.

[173]R. Minio: “An in­ter­view with Mi­chael Atiyah,” Pok­roky Mat. Fyz. As­tro­nom. 31 : 3 (1986), pp. 154–​168. Czech trans­la­tion of art­icle from Math. In­tell. 6:1 (1984). MR 857260 article

[174]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

[175]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

[176]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

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

[178]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

[179]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

[180]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

[181]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

[182]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

[183]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

[184]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

[185]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

[186]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

[187]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

[188]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

[189]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

[190]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

[191]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

[192]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.

[193]Phys­ics and math­em­at­ics of strings (Lon­don, 8–9 Decem­ber, 1988), published as Philos. Trans. Roy. Soc. Lon­don Ser. A 329 : 1605. Edi­ted by M. Atiyah, J. R. El­lis, M. B. Green, and C. H. Llewellyn-Smith. Roy­al So­ci­ety Dis­cus­sion Volumes. Roy­al So­ci­ety (Lon­don), 1989.

[194]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

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

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

[197]W. V. D. Hodge: The the­ory and ap­plic­a­tions of har­mon­ic in­teg­rals, re­print edition. Cam­bridge Math­em­at­ic­al Lib­rary. Cam­bridge Uni­versity Press, 1989. With a fore­word by Mi­chael Atiyah. MR 1015714 Zbl 0693.​14002 book

[198]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

[199]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

[200]M. Atiyah, J. R. El­lis, M. B. Green, and C. H. Llewellyn-Smith: “Phys­ics and math­em­at­ics of strings,” Philos. Trans. Roy. Soc. Lon­don Ser. A 329 : 1605 (1989). Dis­cus­sion held 8–9 Decem­ber 1988 in Lon­don. Re­pub­lished as a book in 1989. Zbl 1083.​81500 article

[201]Phys­ics and math­em­at­ics of strings (Lon­don, 8–9 Decem­ber 1988). Edi­ted by M. Atiyah, J. R. El­lis, M. B. Green, and C. H. Llewellyn-Smith. Roy­al So­ci­ety (Lon­don), 1989. Re­pub­lished from Philos. Trans. Roy. Soc. Lon­don 329:1605 (1989). Zbl 1083.​81501 book

[202]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

[203]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

[204]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

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

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

[207]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

[208]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

[209]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

[210]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

[211]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

[212]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

[213]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

[214]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

[215]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

[216]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

[217]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

[218]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

[219]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

[220]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

[221]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

[222]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

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

[224]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

[225]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

[226]A. Jaffe and F. Quinn: “Re­sponse to com­ments on ‘The­or­et­ic­al math­em­at­ics’,” Bull. Amer. Math. Soc. (N.S.) 30 : 2 (1994), pp. 208–​211. Re­sponse to an art­icle in Bull. Amer. Math. Soc. 30:2 (1994). MR 1254077 article