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EQUIVARIANT COHOMOLOGY OF RATIONALLY SMOOTH GROUP EMBEDDINGS

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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.

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  1. Mathematisches Institut, Heinrich-Heine-Universität, 40225, Düsseldorf, Germany

    RICHARD P. GONZALES

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  1. RICHARD P. GONZALES
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GONZALES, R.P. EQUIVARIANT COHOMOLOGY OF RATIONALLY SMOOTH GROUP EMBEDDINGS. Transformation Groups 20, 743–769 (2015). https://doi.org/10.1007/s00031-015-9322-0

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  • DOI: https://doi.org/10.1007/s00031-015-9322-0

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