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arXiv:1305.4293 [math.AT]AbstractReferencesReviewsResources

What is ... Equivariant Cohomology?

Loring W. Tu

Published 2013-05-18Version 1

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.

Comments: 4 pages, 1 figure, AMS-LaTeX
Journal: Notices of the American Mathematical Society 58 (2011), pp. 423--426
Categories: math.AT
Subjects: 55N25, 55N91
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