Celebratio Mathematica

Michael F. Atiyah

Some later works

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

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

M. Atiyah, A. Borel, G. J. Chaitin, D. Friedan, J. Glimm, J. J. Gray, M. W. Hirsch, S. Mac Lane, 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., N.S. 30 : 2 (1994), pp. 178–​207. MR 1254073 Zbl 0803.​01014 ArXiv math.​HO/​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. 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

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: “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: “Friedrich Hirzebruch: An ap­pre­ci­ation,” pp. 1–​5 in Pro­ceed­ings of the Hirzebruch 65 con­fer­ence on al­geb­ra­ic geo­metry (Bar-Il­an Uni­versity, Ramat Gan, Is­rael, 2–7 May 1993). Edi­ted by M. Teich­er. Is­rael Math­em­at­ic­al Con­fer­ence Pro­ceed­ings 9. Bar-Il­an Uni­versity (Ramat Gan, Is­rael), 1996. MR 1360493 Zbl 0834.​01012 incollection

P. Ex­n­er: “Proofs and phys­ics, their in­ter­re­la­tion­ship,” Pok­roky Mat. Fyz. As­tro­nom. 41 : 2 (1996), pp. 73–​81. Ad­apt­a­tion and Czech trans­la­tion of art­icle from Bull. Amer. Math. Soc. 30:2 (1994). MR 1454823 article

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. 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: “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: “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. 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: 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: “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 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

The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. A 2nd edi­tion was pub­lished in 2009. MR 2136846 Zbl 1072.​01021 book

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

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

The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er, 2nd edition. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2009. The ori­gin­al edi­tion was pub­lished in 2003. MR 2547480 Zbl 1195.​01090 book

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