Sur le théorème d'Atiyah-Singer. (About the Atiyah-Singer theorem)
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Publication:1099857
DOI10.1007/BF00348755zbMath0639.58024OpenAlexW2007431010MaRDI QIDQ1099857
Publication date: 1988
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00348755
Index theory and related fixed-point theorems on manifolds (58J20) Diffusion processes and stochastic analysis on manifolds (58J65)
Related Items (8)
A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold ⋮ Estimation of the density of the solution of the robust Zakaï equation ⋮ Malliavin calculus of Bismut type without probability ⋮ Brownian Chen series and Atiyah-Singer theorem ⋮ Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces ⋮ STOCHASTIC ADAMS THEOREM FOR A GENERAL COMPACT MANIFOLD ⋮ Differentiable measures and the Malliavin calculus ⋮ The Dirac-Ramond operator on loops in flat space
Cites Work
- The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
- Index theorem and equivariant cohomology on the loop space
- The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs
- Localization formulas, superconnections, and the index theorem for families
- A short proof of the local Atiyah-Singer index theorem
- The Witten complex and the degenerate Morse inequalities
- The index of elliptic operators. I
- The index of elliptic operators. III
- A computation of the equivariant index of the Dirac operator
- [https://portal.mardi4nfdi.de/wiki/Publication:3889862 Martingales, the Malliavin calculus and hypoellipticity under general H�rmander's conditions]
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