XXV Workshop on Geometric Methods in Physics 2-8.07.2006

remi leandre

Equivariant cohomology, Fock space and loop groups (with A. Rogers)

We define the Weil Model and the Cartan model of the equivariant cohomology of a loop group, with symmetry group the loop space of a loop group and show there are equal. We define an infinite dimensional analoguous of Kalkman model, which mixed up tools Hida Calculus and analysis on loop groups (of Airault-Malliavin and Gross type)