Inventiones mathematicae

, Volume 83, Issue 1, pp 91-151

First online:

The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs

  • Jean-Michel BismutAffiliated withDépartement de Mathématique, Université Paris-Sud

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The purpose of this paper is to give two heat equation proofs of the Index Theorem of Atiyah-Singer for a family of Dirac operators.