Equivariant $K$-theory of smooth projective spherical varieties

S. Banerjee; Mahir Bilen Can

Equivariant $K$-theory of smooth projective spherical varieties

K-Theory and Homology 2017-02-14 v2

Authors: S. Banerjee , Mahir Bilen Can

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.

Keywords

equivariant K-theory spherical varieties smooth projective varieties Chow cohomology wonderful compactifications Schubert classes structure constants

Cite

@article{arxiv.1603.04926,
  title  = {Equivariant $K$-theory of smooth projective spherical varieties},
  author = {S. Banerjee and Mahir Bilen Can},
  journal= {arXiv preprint arXiv:1603.04926},
  year   = {2017}
}

Comments

Exposition improved, several typos fixed, errors fixed, Comments Welcome

Equivariant $K$-theory of smooth projective spherical varieties

Abstract

Keywords

Cite

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