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

Jean-Michel Bismut

Inventiones mathematicae (1986)

  • Volume: 83, page 91-152
  • ISSN: 0020-9910; 1432-1297/e

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Bismut, Jean-Michel. "The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs.." Inventiones mathematicae 83 (1986): 91-152. <http://eudml.org/doc/143306>.

@article{Bismut1986,
author = {Bismut, Jean-Michel},
journal = {Inventiones mathematicae},
keywords = {heat equation formula for the index; connections on infinite-dimensional bundles; Atiyah-Singer index theorem; superconnections; stochastic differential calculus},
pages = {91-152},
title = {The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs.},
url = {http://eudml.org/doc/143306},
volume = {83},
year = {1986},
}

TY - JOUR
AU - Bismut, Jean-Michel
TI - The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs.
JO - Inventiones mathematicae
PY - 1986
VL - 83
SP - 91
EP - 152
KW - heat equation formula for the index; connections on infinite-dimensional bundles; Atiyah-Singer index theorem; superconnections; stochastic differential calculus
UR - http://eudml.org/doc/143306
ER -

Citations in EuDML Documents

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  1. Jean-Michel Bismut, E. Vasserot, The asymptotics of the Ray-Singer analytic torsion of the symmetric powers of a positive vector bundle
  2. Jean-Michel Bismut, Jeff Cheeger, Transgressed Euler classes of SL ( 2 n , 𝐙 ) vector bundles, adiabatic limits of eta invariants and special values of L -functions
  3. Jean-Michel Bismut, Superconnexions, indice local des familles, déterminant de la cohomologie et métriques de Quillen
  4. Jean-Michel Bismut, Equivariant short exact sequences of vector bundles and their analytic torsion forms
  5. Jean-Benoît Bost, Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes
  6. Rémi Léandre, Sur le théorème de l'indice des familles
  7. Éric Leichtnam, Paolo Piazza, The b -pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem
  8. Xiaonan Ma, Flat vector bundles and analytic torsion forms
  9. Alain Berthomieu, Proof of Nadel’s conjecture and direct image for relative K -theory
  10. Werner Müller, The eta invariant (some recent developments)

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