A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold

DOI10.1016/0393-0440(94)00023-WzbMath0822.60057OpenAlexW2049401175MaRDI QIDQ1891537

Shih-shyr Roan, Rémi Léandre

Publication date: 20 September 1995

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(94)00023-w

zbMATH Keywords

orbifoldEuler numberloop groupsstochastic analysisde Rham operator

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Probabilistic methods in group theory (20P05)

Related Items (17)

COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION ⋮ REGULARIZED EULER–POINCARÉ NUMBER OF THE INFINITE-DIMENSIONAL TORUS ⋮ \(L^{2}\)-Betti numbers of infinite configuration spaces ⋮ Fedosov Quantization in White Noise Analysis ⋮ Laplace operators in deRham complexes associated with measures on configuration spaces ⋮ Brownian surfaces with boundary and Deligne cohomology ⋮ Stochastic Wess-Zumino-Witten model over a symplectic manifold ⋮ Brownian pants and Deligne cohomology ⋮ Laplace operators on differential forms over configuration spaces ⋮ De Rham cohomology of configuration spaces with Poisson measure ⋮ A STOCHASTIC APPROACH TO THE EULER–POINCARE CHARACTERISTIC OF A QUOTIENT OF A LOOP GROUP ⋮ String structure over the Brownian bridge ⋮ Singular Integral Homology of the Stochastic Loop Space ⋮ Stochastic gauge transform of the string bundle ⋮ Stochastic analysis on product manifolds: Dirichlet operators on differential forms ⋮ Hilbert Space of Spinor Fields Over the Free Loop Space ⋮ Stochastic Cohomology of the Frame Bundle of the Loop Space

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