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Equivariant Cohomology of Rationally Smooth Group Embeddings

By Richard Gonzales

Abstract

We describe the equivariant cohomology ring of rationally smooth projective embeddings of reductive groups. These embeddings are the projectivizations of reductive monoids. Our main result describes their equivariant cohomology in terms of roots, idempotents, and underlying monoid data. Also, we characterize those embeddings whose equivariant cohomology ring is obtained via restriction to the associated toric variety. Such characterization is given in terms of the closed orbits.Comment: 25 pages. Final version. To appear in Transformation Group

Topics: Mathematics - Algebraic Geometry, Mathematics - Algebraic Topology, 14M27, 14L30, 20M32 (Primary), 55N91 (Secondary)
Publisher: 'Springer Science and Business Media LLC'
Year: 2015
DOI identifier: 10.1007/s00031-015-9322-0
OAI identifier: oai:arXiv.org:1112.1365

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