Celebratio Mathematica

Michael F. Atiyah

Geometry

Works of Michael Atiyah

Works connected to Raoul H. Bott

Filter the Bibliography List

clear

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

V. Vassiliev: “The math­em­at­ic­al leg­acy of ‘La­cunas for hy­per­bol­ic dif­fer­en­tial equa­tions’,” pp. xxiii–​xxviii in Raoul Bott: Col­lec­ted pa­pers, vol. 2: Dif­fer­en­tial op­er­at­ors. Edi­ted by R. D. MacPh­er­son. Con­tem­por­ary Math­em­aticians. Birkhäuser (Bo­ston, MA), 1994. Com­ment­ary on two-part art­icle pub­lished in Acta Math. 124 (1970) and Acta Math. 131 (1973). MR 1290364 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

L. Gård­ing: “A happy col­lab­or­a­tion,” pp. xlix–​liv in Sir Mi­chael Atiyah: A great math­em­atician of the twen­ti­eth cen­tury, published as Asi­an J. Math. 3 : 1 (1999). Ded­ic­ated to Mi­chael Atiyah and Raoul Bott. MR 1701917 Zbl 0955.​01017 incollection

Pa­pers ded­ic­ated to Atiyah, Bott, Hirzebruch, and Sing­er. Edi­ted by S.-T. Yau. Sur­veys in Dif­fer­en­tial Geo­metry (sup­ple­ment to Journ­al of Dif­fer­en­tial Geo­metry) 7. In­ter­na­tion­al Press (Somerville, MA), 2000. MR 1919419 book

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

E. Wit­ten: “Mi­chael Atiyah and the phys­ics/geo­metry in­ter­face,” pp. 43–​50 in The founders of in­dex the­ory: Re­min­is­cences of and about Sir Mi­chael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. Re­pub­lished from Asi­an J. Math. 3:1 (1999). Also in the 2009 edi­tion of the book. incollection

N. Hitchin: “Sir Mi­chael Atiyah: A brief bio­graphy,” pp. 15–​22 in The founders of in­dex the­ory: Re­min­is­cences of and about Sir Mi­chael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. Also in the 2009 edi­tion of the book. incollection

M. Atiyah: “The con­science of sci­ence,” pp. 51–​66 in The founders of in­dex the­ory: Re­min­is­cences of and about Sir Mi­chael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. Also in the 2009 edi­tion of the book. incollection

G. Lusztig: “Re­col­lec­tions about my teach­er Mi­chael Atiyah,” pp. 37–​42 in The founders of in­dex the­ory: Re­min­is­cences of and about Sir Mi­chael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. Re­pub­lished from Asi­an J. Math. 3:1 (1999). Also in the 2009 edi­tion of the book. incollection

P. God­dard: “Sir Mi­chael Atiyah and the early days of the New­ton In­sti­tute,” pp. 23–​28 in The founders of in­dex the­ory: Re­min­is­cences of and about Sir Mi­chael Atiyah, Raoul Bott, Friedrich Hirzebruch, and I. M. Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2003. Also in the 2009 edi­tion of the book. incollection

M. Atiyah: “Raoul Harry Bott: 24 Septem­ber 1923–20 Decem­ber 2005,” Bio­gr. Mems Fell. R. Soc. 53 (December 2007), pp. 63–​76. Re­pub­lished in Bull. Lond. Math. Soc. 42:1 (2010). article

The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er, 2nd edition. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2009. 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

S. Don­ald­son: “Geo­metry in Ox­ford c.1980–85,” pp. 35–​42 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 from Asi­an J. Math. 3:1 (1999). Also in the 2003 edi­tion of the book. incollection

L. Niren­berg: “Memor­ies of Mi­chael Atiyah,” pp. 45–​46 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. incollection

M. Atiyah: “Memor­ies of Raoul Bott,” pp. 89–​94 in The founders of in­dex the­ory: Re­min­is­cences of Atiyah, Bott, Hirzebruch, and Sing­er. Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Somerville, MA), 2009. incollection

M. Atiyah: “Let­ter to Raoul, Fritz, and Is,” pp. 323–​324 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. Also found in the 2003 edi­tion of the book. incollection

R. Bott: “A let­ter from Raoul Bott,” pp. 33–​34 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. Also in the 2003 edi­tion of the book. incollection

G. Segal: “Be­ing a gradu­ate stu­dent of Mi­chael Atiyah,” pp. 47–​48 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. Also in the 2003 edi­tion of the book. incollection

M. Atiyah: “Math­em­at­ics: Queen and ser­vant of the sci­ences,” pp. 55–​76 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 from Proc. Am. Phil. Soc. 137:4 (1993). See also Asi­an J. Math. 3:1 (1999). incollection

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