What is ... Equivariant Cohomology?
Algebraic Topology
2013-05-21 v1
Abstract
When a torus acts on a compact oriented manifold with isolated fixed points, the equivariant localization formula of Atiyah--Bott--Berline--Vergne converts the integral of an equivariantly closed form to a finite sum over the fixed points, providing a powerful tool for computing integrals on a manifold. This article seeks to give an accessible exposition of the equivariant localization formula.
Keywords
Cite
@article{arxiv.1305.4293,
title = {What is ... Equivariant Cohomology?},
author = {Loring W. Tu},
journal= {arXiv preprint arXiv:1305.4293},
year = {2013}
}
Comments
4 pages, 1 figure, AMS-LaTeX