Celebratio Mathematica

Michael F. Atiyah

Geometry

Works of Michael Atiyah

Works connected to Graeme Bryce Segal

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

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

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

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

M. Atiyah and G. Segal: “On equivari­ant Euler char­ac­ter­ist­ics,” J. Geom. Phys. 6 : 4 (1989), pp. 671–​677. MR 1076708 Zbl 0708.​19004 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 and G. Segal: “Twis­ted \( K \)-the­ory and co­homo­logy,” pp. 5–​43 in In­spired by S. S. Chern. Edi­ted by P. Grif­fiths. Nankai Tracts in Math­em­at­ics 11. World Sci­entif­ic (Hack­en­sack, NJ), 2006. MR 2307274 Zbl 1138.​19003 ArXiv math/​0510674 incollection

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