6533b7d6fe1ef96bd126651a

RESEARCH PRODUCT

Equivariant cohomology, Fock space and loop groups

Alice RogersRémi LéandreRémi Léandre

subject

Pure mathematicsChern–Weil homomorphismGroup cohomologyMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear PhysicsWeil algebraMathematics::Algebraic TopologyCohomologyMathematics::K-Theory and HomologyLoop groupDe Rham cohomologyEquivariant mapEquivariant cohomologyMathematics::Symplectic GeometryMathematical PhysicsMathematics

description

Equivariant de Rham cohomology is extended to the infinite-dimensional setting of a loop subgroup acting on a loop group, using Hida supersymmetric Fock space for the Weil algebra and Malliavin test forms on the loop group. The Mathai–Quillen isomorphism (in the BRST formalism of Kalkman) is defined so that the equivalence of various models of the equivariant de Rham cohomology can be established.

yearjournalcountryeditionlanguage
2006-09-05Journal of Physics A: Mathematical and General
https://doi.org/10.1088/0305-4470/39/38/018