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Stochastic equivariant cohomologies and cyclic cohomology

Name: Stochastic equivariant cohomologies and cyclic cohomology
Creator: Léandre, Rémi
Keywords: Diffusion processes and stochastic analysis on manifolds, Equivariant homology and cohomology in algebraic topology, Stochastic calculus of variations and the Malliavin calculus, Equivariant cohomology, Probability (math.PR), \(K\)-theory and operator algebras (including cyclic theory), 01 natural sciences, 58J65, equivariant cohomology, 55N91

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2005Embargo end date: 01 Jan 2005Publisher:Institute of Mathematical StatisticsJournal:The Annals of Probability, volume 33 (issn: 0091-1798,

Authors: Léandre, Rémi;

doi: 10.1214/009117905000000170 , 10.48550/arxiv.math/0507461

arXiv: http://arxiv.org/abs/math/0507461

Stochastic equivariant cohomologies and cyclic cohomology

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Abstract

We give two stochastic diffeologies on the free loop space which allow us to define stochastic equivariant cohomology theories in the Chen-Souriau sense and to establish a link with cyclic cohomology. With the second one, we can establish a stochastic fixed point theorem.

Published at http://dx.doi.org/10.1214/009117905000000170 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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University of Burgundy
France

Keywords

Diffusion processes and stochastic analysis on manifolds, Equivariant homology and cohomology in algebraic topology, Stochastic calculus of variations and the Malliavin calculus, Equivariant cohomology, Probability (math.PR), \(K\)-theory and operator algebras (including cyclic theory), 58J65, equivariant cohomology, 55N91, free loop space, Brownian bridge, FOS: Mathematics, Brownian motion, cyclic cohomology, 46L80, Mathematics - Probability, 58J65, 55N91, 46L80 (Primary)

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