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arXiv · 1603.04926

Equivariant $K$-theory of smooth projective spherical varieties

S. Banerjee·Mahir Bilen Can
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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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S. Banerjee, Mahir Bilen Can. 2016-03-16. Equivariant $K$-theory of smooth projective spherical varieties. https://arxiv.org/abs/1603.04926

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