Celebratio Mathematica

Michael F. Atiyah

Papers on index theory (1963–1984)

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. 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