REGULARIZED EULER–POINCARÉ NUMBER OF THE INFINITE-DIMENSIONAL TORUS

DOI10.1142/S0219025799000345zbMath1043.60507OpenAlexW2140316940MaRDI QIDQ4810360

Rémi Léandre, Alexander D. Bendikov

Publication date: 3 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025799000345

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (7)

\(L^{2}\)-Betti numbers of infinite configuration spaces ⋮ Laplace operators in deRham complexes associated with measures on configuration spaces ⋮ Laplace operators on differential forms over configuration spaces ⋮ De Rham cohomology of configuration spaces with Poisson measure ⋮ CENTRAL GAUSSIAN CONVOLUTION SEMIGROUPS ON COMPACT GROUPS: A SURVEY ⋮ Stochastic equivariant cohomologies and cyclic cohomology ⋮ Stochastic analysis on product manifolds: Dirichlet operators on differential forms

Cites Work

• Lie algebras of locally compact groups
• The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields
• A general class of infinite dimensional Dirac operators and path integral representation of their index
• \(S^ 1\)-actions and elliptic genera
• A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold

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