A Bismut type theorem for subelliptic heat semigroups

DOI10.1016/j.crma.2007.05.005zbMath1169.58004OpenAlexW2038199936MaRDI QIDQ997969

Fabrice Baudoin

Publication date: 10 August 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.05.005

zbMATH Keywords

heat kernelClifford bundleslocal Atiyah-Singer index theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Index theory and related fixed-point theorems on manifolds (58J20) Subelliptic equations (35H20)

Related Items (3)

Stochastic Differential Equations Driven by Loops ⋮ A horizontal Chern-Gauss-Bonnet formula on totally geodesic foliations ⋮ Brownian Chen series and Atiyah-Singer theorem

Cites Work

• The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas
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