Equivariant K-theory of smooth projective spherical varieties

2016/03/16 by Banerjee, S., Can, Mahir Bilen
#14M27(Secondary) #19E08 (Primary) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1603.04926

Abstract

We present a description of the equivariant K-theory of a smooth projective spherical variety. This provides an integral K-theory version of Brion's calculation of equivariant Chow-cohomology of such varieties. We consider the equivariant K-theory of wonderful compactifications of minimal rank symmetric varieties. We obtain a formula for their structure constants in terms of certain lower dimensional Schubert classes. This generalizes results of Uma on equivariant compactifications of adjoint groups.

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