Coherent Sheaves on Quiver Varieties and Categorification
Algebraic Geometry
2011-04-05 v1 Representation Theory
Abstract
We construct geometric categorical Lie algebra actions on the derived category of coherent sheaves on Nakajima quiver varieties. These actions categorify Nakajima's construction of Kac-Moody algebra representations on the K-theory of quiver varieties. We define an induced affine braid group action on these derived categories.
Cite
@article{arxiv.1104.0352,
title = {Coherent Sheaves on Quiver Varieties and Categorification},
author = {Sabin Cautis and Joel Kamnitzer and Anthony Licata},
journal= {arXiv preprint arXiv:1104.0352},
year = {2011}
}
Comments
36 pages