The infinitesimal Lefschetz formulas: A heat equation proof. (English) Zbl 0572.58021

Bismut, Jean-Michel

J. Funct. Anal. 62, 435-457 (1985).

From the summary: ”The Lefschetz formulas of Atiyah, Bott and Singer are proved by heat equation methods in infinitesimal form, i.e. without using the usual localization on the fixed point set.”

Reviewer: G.Warnecke

MSC:

58J35	Heat and other parabolic equation methods for PDEs on manifolds
57R22	Topology of vector bundles and fiber bundles
57M99	General low-dimensional topology

Keywords:

homotopy; Dirac operator; Lefschetz formulas; heat equation methods

References:

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