Group-valued equivariant localization

Details Group-valued equivariant localization Group-valued equivariant localization

1999-05-20

arxiv.org/abs/math/9905130v1

Mathematics

Differential Geometry

31 pages

Scientific paper

We prove a localization formula for group-valued equivariant de Rham cohomology of a compact G-manifold. This formula is a non-trivial generalization of the localization formula of Berline-Vergne and Atiyah-Bott for the usual equivariant de Rham cohomology. As an application, we obtain a version of the Duistermaat-Heckman formula for Hamiltonian spaces with group-valued moment maps.

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