Equivariant Cohomology of Rationally Smooth Group Embeddings

Details Equivariant Cohomology of Rationally Smooth Group Embeddings Equivariant Cohomology of Rationally Smooth Group Embeddings

2011-12-06

arxiv.org/abs/1112.1365v2

Mathematics

Algebraic Geometry

39 pages, minor changes in chapters 1 and 5

Scientific paper

We describe the equivariant cohomology ring of rationally smooth normal projective embeddings of a reductive group. These embeddings are obtained as 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 corresponding cross section lattice.

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