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On the localization theorem in equivariant cohomology

Michel Brion·Michèle Vergne
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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.

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Michel Brion, Michèle Vergne. 1997-11-07. On the localization theorem in equivariant cohomology. https://arxiv.org/abs/dg-ga/9711003

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