On the localization theorem in equivariant cohomology

Mathematics – Differential Geometry

Scientific paper

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8 pages, Latex2e, uses epsfig

Scientific paper

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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