COVER OF THE BROWNIAN BRIDGE AND STOCHASTIC SYMPLECTIC ACTION
From MaRDI portal
Publication:4519832
DOI10.1142/S0129055X00000058zbMath0968.58027OpenAlexW1996978261MaRDI QIDQ4519832
Publication date: 4 December 2000
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x00000058
Symplectic manifolds (general theory) (53D05) Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic analysis (60H99)
Related Items
STOCHASTIC PROCESSES ON CLASSIFYING SPACES AND STRING STRUCTURES ⋮ Unnamed Item ⋮ A Lie algebroid on the Wiener space ⋮ Brownian surfaces with boundary and Deligne cohomology ⋮ Brownian cylinders and intersecting branes ⋮ Brownian pants and Deligne cohomology ⋮ A STOCHASTIC APPROACH TO THE EULER–POINCARE CHARACTERISTIC OF A QUOTIENT OF A LOOP GROUP ⋮ Stochastic equivariant cohomologies and cyclic cohomology ⋮ Stochastic gauge transform of the string bundle ⋮ A unitary representation of the basical central extension of a loop group
Cites Work
- Stochastic Wess-Zumino-Witten model over a symplectic manifold
- Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces
- The Atiyah-Singer theorems: A probabilistic approach. II: The Lefschetz fixed point formulas
- The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
- The supersymmetric sigma model, topological quantum mechanics and knot invariants
- Differential forms on loop spaces and the cyclic bar complex
- String structures and the path fibration of a group
- Orientation and string structures on loop space
- Zeros d'un champ de vecteurs et classes characteristiques équivariantes
- Index theorem and equivariant cohomology on the loop space
- Localization formulas, superconnections, and the index theorem for families
- The Witten complex and the degenerate Morse inequalities
- De Rham-Hodge-Kodaira's decomposition on an abstract Wiener space
- Index of a family of Dirac operators on loop space
- The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields
- Entire cyclic cohomology of Banach algebras and characters of \(\theta\)- summable Fredholm modules
- String structures on loop bundles
- Supersymmetry and Morse theory
- A general class of infinite dimensional Dirac operators and path integral representation of their index
- De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions
- 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
- Invariant Sobolev calculus on the free loop space
- \(S^ 1\)-actions and elliptic genera
- A stochastic approach to the Euler-Poincaré number of the loop space of a developable orbifold
- On the Arnold conjecture for weakly monotone symplectic manifolds
- Twisted sheets
- Towards a Riemannian geometry on the path space over a Riemannian manifold
- On the structure of Hopf algebras
- Potential theory on Hilbert space
- Iterated integrals of differential forms and loop space homology
- ON THE COBAR CONSTRUCTION
- Transformations of the Brownian motion on a Riemannian symmetric space
- Puits multiples en mecanique semi-classique iv etude du complexe de witten