Group-valued equivariant localization
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.math/9905130,
title = {Group-valued equivariant localization},
author = {Anton Alekseev and Eckhard Meinrenken and Chris Woodward},
journal= {arXiv preprint arXiv:math/9905130},
year = {2007}
}
Comments
31 pages