Celebratio Mathematica

Michael F. Atiyah

Geometry

Works of Michael Atiyah

Works connected to Friedrich E. P. Hirzebruch

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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

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

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. Edi­ted by C. B. Al­lendo­er­fer. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 3. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1961. MR 0139181 Zbl 0108.​17705 incollection

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

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

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

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

M. F. Atiyah and F. Hirzebruch: “Ana­lyt­ic cycles on com­plex man­i­folds,” To­po­logy 1 (1962), pp. 25–​45. MR 0145560 Zbl 0108.​36401 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. Edi­ted by A. Hae­fli­ger and R. Narasim­han. Spring­er (New York), 1970. MR 0278334 Zbl 0193.​52401 incollection

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. 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: “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: “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

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

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

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

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

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