Celebratio Mathematica

Michael F. Atiyah

Geometry

Works of Michael Atiyah

Works connected to Armand Borel

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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

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, A. Borel, D. Friedan, J. J. Gray, and M. W. Hirsch: “Proofs, phys­ics and things around them,” Pok­roky Mat. Fyz. As­tron. 41 : 2 (1996), pp. 73–​81. In Czech. Zbl 0863.​01010 article