Brownian surfaces with boundary and Deligne cohomology

DOI10.1016/S0034-4877(03)80034-4zbMath1052.60063OpenAlexW2089940738MaRDI QIDQ1430981

Rémi Léandre

Publication date: 27 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(03)80034-4

zbMATH Keywords

conformal field theoryDeligne cohomologyBrownian motion and diffusion processes over loop groupsrandom pants

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes (60J60) Constructive quantum field theory (81T08) Diffusion processes and stochastic analysis on manifolds (58J65) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items (4)

Construction of diffusions on current groups ⋮ Super Brownian motion on a loop group. ⋮ Brownian pants and Deligne cohomology ⋮ Fellerian pants

Cites Work

• Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization
• Spectra of Wess-Zumino-Witten models with arbitrary simple groups
• The mathematics of fivebranes
• The homology of iterated loop spaces
• Elliptic Gaussian random processes
• Stochastic tools on Hilbert manifolds: Interplay with geometry and physics
• Brownian cylinders and intersecting branes
• Integration questions related to fractional Brownian motion
• Analysis on loop spaces and topology
• A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold
• Horizontal lift of an infinite dimensional diffusion
• The free Markoff field
• Euclidean proof of the Goldstone theorem
• The geometry of iterated loop spaces
• Quantum Geometry
• COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION
• Harmonic analysis with respect to heat kernel measure
• STOCHASTIC PROCESSES ON GROUPS OF DIFFEOMORPHISMS AND VISCOUS HYDRODYNAMICS
• Diffusion and Brownian Motion on Infinite-Dimensional Manifolds
• Loop spaces, characteristic classes and geometric quantization
• Large deviations for the Brownian motion on loop groups
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