On the localization theorem in equivariant cohomology
dg-ga
2007-05-23 v1 Differential Geometry
Abstract
We present a simple proof of a precise version of the localization theorem in equivariant cohomology. As an application, we describe the cohomology algebra of any compact symplectic variety with a multiplicity-free action of a compact Lie group. This applies in particular to smooth, projective spherical varieties.
Cite
@article{arxiv.dg-ga/9711003,
title = {On the localization theorem in equivariant cohomology},
author = {Michel Brion and Michèle Vergne},
journal= {arXiv preprint arXiv:dg-ga/9711003},
year = {2007}
}
Comments
8 pages, Latex2e, uses epsfig