Equivariant cohomology, Fock space and loop groups

TY - JOUR

T1 - Equivariant cohomology, Fock space and loop groups

AU - Léandre, Rémi

AU - Rogers, Frances

PY - 2006/9/22

Y1 - 2006/9/22

N2 - 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.

AB - 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.

U2 - 10.1088/0305-4470/39/38/018

DO - 10.1088/0305-4470/39/38/018

M3 - Article

VL - 39

SP - 11929

EP - 11946

JO - JOURNAL OF PHYSICS A MATHEMATICAL AND GENERAL

JF - JOURNAL OF PHYSICS A MATHEMATICAL AND GENERAL

IS - 38

M1 - 018

ER -