De Rham cohomology of configuration spaces with Poisson measure

DOI10.1006/jfan.2001.3766zbMath0989.60049arXivmath/0608338OpenAlexW2082142558MaRDI QIDQ5949556

Alexei Daletskii, Eugene W. Lytvynov, Sergio A. Albeverio

Publication date: 30 June 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608338

zbMATH Keywords

differential formsconfiguration spacesPoisson measurede Rham cohomology

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) de Rham theory in global analysis (58A12) Diffusion processes and stochastic analysis on manifolds (58J65) Differential forms in global analysis (58A10) Random measures (60G57)

Related Items (6)

\(L^{2}\)-Betti numbers of infinite configuration spaces ⋮ Traces of semigroups associated with interacting particle systems ⋮ Laplace operators in deRham complexes associated with measures on configuration spaces ⋮ Random Witten Laplacians: Traces of semigroups, \(L^{2}\)-Betti numbers and index ⋮ Poisson cluster measures: Quasi-invariance, integration by parts and equilibrium stochastic dynamics ⋮ Weitzenböck and Clark-Ocone Decompositions for Differential Forms on the Space of Normal Martingales

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