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An Introduction to Equivariant Cohomology_20170303_1

Mathematical and General , Volume 39 , Number Buy this article in print. Sign up for new issue notifications. 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.

Equivariant cohomology, Fock space and loop groups

Sets, Logic and Categories Peter J. Topology and Geometry Glen E. Vectors, Pure and Applied T. Analytic K-Homology Nigel Higson. Lusternik-Schnirelmann Category Daniel Tanre. Homotopical Topology Anatoly Fomenko. Sheaf Theory Glen E. Introduction to Algebraic Topology A.

Equivariant cohomology

Simplicial Objects in Algebraic Topology J. Introduction to the H-principle Y.

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Cambridge University Press, Cambridge A GKM description of the equivariant cohomology ring of a homogeneous space. Balanced fiber bundles and GKM theory in preparation Schubert calculus of a Coxeter group. Reflection Groups and Coxeter Groups. Cambridge Studies in Advanced Mathematics, vol.

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