STOCHASTIC ADAMS THEOREM FOR A GENERAL COMPACT MANIFOLD

DOI10.1142/S0129055X01000909zbMath1037.58025OpenAlexW2012474215MaRDI QIDQ4418307

Rémi Léandre

Publication date: 7 August 2003

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x01000909

zbMATH Keywords

Hochschild cohomologyloop spacesmooth formsBrownian bridge law

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items (5)

Asymptotic behavior of divergences and Cameron-Martin theorem on loop spaces. ⋮ STOCHASTIC PROCESSES ON CLASSIFYING SPACES AND STRING STRUCTURES ⋮ A Lie algebroid on the Wiener space ⋮ THEORY OF DISTRIBUTION IN THE SENSE OF CONNES–HIDA AND FEYNMAN PATH INTEGRAL ON A MANIFOLD ⋮ Stochastic equivariant cohomologies and cyclic cohomology

Cites Work

• The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
• Differential forms on loop spaces and the cyclic bar complex
• Orientation and string structures on loop space
• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• Index theorem and equivariant cohomology on the loop space
• Localization formulas, superconnections, and the index theorem for families
• De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
• Sur le théorème d'Atiyah-Singer. (About the Atiyah-Singer theorem)
• Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
• Non-abelian Stokes formula
• On the variation in the cohomology of the symplectic form of the reduced phase space
• Logarithmic Sobolev inequalities on loop groups
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• Invariant Sobolev calculus on the free loop space
• Stochastic local Gauss-Bonnet-Chern theorem
• Twisted sheets
• Towards a Riemannian geometry on the path space over a Riemannian manifold
• Quasi-invariance of the Wiener measure on the path space over a compact Riemannian manifold
• Stochastic anticipative integrals on a Riemannian manifold
• Potential theory on Hilbert space
• Iterated integrals of differential forms and loop space homology
• ON THE COBAR CONSTRUCTION
• Transformations of the Brownian motion on a Riemannian symmetric space
• Singular Integral Homology of the Stochastic Loop Space
• Stochastic Cohomology of the Frame Bundle of the Loop Space

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