Celebratio Mathematica

Michael F. Atiyah

Papers on K-theory (1959–1970)

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