Stochastic gauge transform of the string bundle

DOI10.1016/S0393-0440(97)00031-4zbMath0959.58046OpenAlexW2004565306WikidataQ125389579 ScholiaQ125389579MaRDI QIDQ1299183

Rémi Léandre

Publication date: 26 April 2001

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

Full work available at URL: https://doi.org/10.1016/s0393-0440(97)00031-4

zbMATH Keywords

Brownian bridgestochastic calculusloop groupsline bundlesstochastic gauge transformstring bundle

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items

Stochastic Moyal product on the Wiener space, STOCHASTIC PROCESSES ON CLASSIFYING SPACES AND STRING STRUCTURES, String structure over the Brownian bridge, A unitary representation of the basical central extension of a loop group

Cites Work

• A Poincaré lemma for connection forms
• Partitions of unity in Sobolev spaces over infinite dimensional state spaces
• Stochastic Wess-Zumino-Witten model over a symplectic manifold
• Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces
• Large deviations and the Malliavin calculus
• Differential forms on loop spaces and the cyclic bar complex
• String structures and the path fibration of a group
• Exponential decay of the heat kernel over the diagonal. II
• Orientation and string structures on loop space
• Another construction of the central extension of the loop group
• String structures on loop bundles
• Logarithmic Sobolev inequalities on loop groups
• Integration on loop groups. II: Heat equation for the Wiener measure
• Integration on loop groups. III: Asymptotic Peter-Weyl orthogonality
• The Pfaffian line bundle
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• Path integral formulae for heat kernels and their derivatives
• The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
• Invariant Sobolev calculus on the free loop space
• Renormalized differential geometry on path space: Structural equation, curvature
• \(S^ 1\)-actions and elliptic genera
• A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold
• 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
• Potential theory on Hilbert space
• Transformations of the Brownian motion on a Riemannian symmetric space
• Singular Integral Homology of the Stochastic Loop Space
• COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION
• String structure over the Brownian bridge
• Loop spaces, characteristic classes and geometric quantization
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