Search results for "Weil algebra"

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Equivariant cohomology, Fock space and loop groups

2006

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.

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 PhysicsMathematicsJournal of Physics A: Mathematical and General
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