The heat equation in riemannian geometry
Séminaire Bourbaki. : vol. 1973/74, exposés 436-452, Séminaire Bourbaki, no. 16 (1975), Talk no. 436, p. 1-11
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author = {Atiyah, Michael F.},
title = {The heat equation in riemannian geometry},
booktitle = {S\'eminaire Bourbaki. : vol. 1973/74, expos\'es 436-452},
author = {Collectif},
series = {S\'eminaire Bourbaki},
publisher = {Springer-Verlag},
number = {16},
year = {1975},
note = {talk:436},
pages = {1-11},
zbl = {0322.58011},
mrnumber = {431286},
language = {en},
url = {http://www.numdam.org/item/SB_1973-1974__16__1_0}
}

Atiyah, M. F. The heat equation in riemannian geometry, in Séminaire Bourbaki. : vol. 1973/74, exposés 436-452, Séminaire Bourbaki, no. 16 (1975), Talk no. 436, pp. 1-11. http://www.numdam.org/item/SB_1973-1974__16__1_0/

1. M.F. Atiyah and R. Bott, A Lefschetz fixed-point formula for elliptic complexes I, Ann. of Math. 86 (1967), 374-407. | MR 212836 | Zbl 0161.43201

2. M.F. Atiyah, R. Bott and V.K. Patodi, On the heat equation and the index theorem, Inventiones Math. 19 (1973), 279-330. | MR 650828 | Zbl 0257.58008

3. M.F. Atiyah, V.K. Patodi and I.M. Singer, Spectral asymmetry and Riemannian geometry, Bull. London Math. Soc. 5 (1973), 229-234. | MR 331443 | Zbl 0268.58010

4. M.F. Atiyah and I.M. Singer, The index of elliptic operators I, Ann. of Math. 87 (1968), 484-530. | MR 236950 | Zbl 0164.24001

5. P. Gilkey, Curvature and the eigenvalues of the Laplacian for elliptic complexes, Advances in Mathematics (to appear). | MR 324731 | Zbl 0259.58010

6. V.K. Patodi, Curvature and the eigenforms of the Laplace operator, J. Diff. Geometry 5 (1971), 233-249. | MR 292114 | Zbl 0211.53901

7. V.K. Patodi, An analytic proof of the Riemann-Roch-Hirzebruch theorem for Kaehler manifolds, J.Diff. Geometry 5 (1971), 251-283. | MR 290318 | Zbl 0219.53054