Celebratio Mathematica

Michael F. Atiyah

Works authored by Atiyah

Works connected to Vijay Kumar Patodi

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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, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry,” Bull. Lon­don Math. Soc. 5 (July 1973), pp. 229–​234. MR 331443 Zbl 0268.​58010 article

M. F. Atiyah: “The heat equa­tion in Rieman­ni­an geo­metry (after Pat­odi, Gilkey, etc.),” pp. 1–​11 in Sémin­aire Bourbaki 1973/1974. Lec­ture Notes in Math­em­at­ics 431. Spring­er (Ber­lin), 1975. Ex­posé no. 436. MR 0431286 incollection

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, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, I,” Math. Proc. Cam­bridge Philos. Soc. 77 (1975), pp. 43–​69. MR 397797 Zbl 0297.​58008 article

M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, II,” Math. Proc. Cam­bridge Philos. Soc. 78 : 3 (November 1975), pp. 405–​432. MR 397798 Zbl 0314.​58016 article

M. F. Atiyah, V. K. Pat­odi, and I. M. Sing­er: “Spec­tral asym­metry and Rieman­ni­an geo­metry, III,” Math. Proc. Cam­bridge Philos. Soc. 79 : 1 (1976), pp. 71–​99. MR 397799 Zbl 0325.​58015 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