On the K-theory of the cyclic quiver variety
Algebraic Geometry
2007-05-23 v1
Abstract
We compute the convolution product on the equivariant K-groups of the cyclic quiver variety. We get a q-analogue of double-loop algebras, closely related to the toroidal quantum groups previously studied by the authors. We also give a geometric interpretation of the cyclic quiver variety in terms of equivariant torsion-free sheaves on the projective plane.
Keywords
Cite
@article{arxiv.math/9902091,
title = {On the K-theory of the cyclic quiver variety},
author = {Michela Varagnolo and Eric Vasserot},
journal= {arXiv preprint arXiv:math/9902091},
year = {2007}
}
Comments
22 pages, AMS-tex