Abstract
We review the localization formula due to Berline-Vergne and Atiyah- Bott, with applications to the exact stationary phase phenomenon discovered by Duistermaat-Heckman. We explain the Weil model of equivariant cohomology and recall its relation to BRST. We show how to quantize the Weil model, and obtain new localization formulas which, in particular, apply to Hamiltonian spaces with group valued moment maps.KeywordsEquivariant FormErential FormEquivariant CohomologyCircle ActionDominant WeightThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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