A categorical action on quantized quiver varieties
Algebraic Geometry
2022-11-18 v3 Representation Theory
Abstract
In this paper, we describe a categorical action of any Kac-Moody algebra on a category of quantized coherent sheaves on Nakajima quiver varieties. By "quantized coherent sheaves," we mean a category of sheaves of modules over a deformation quantization of the natural symplectic structure on quiver varieties. This action is a direct categorification of the geometric construction of universal enveloping algebras by Nakajima.
Cite
@article{arxiv.1208.5957,
title = {A categorical action on quantized quiver varieties},
author = {Ben Webster},
journal= {arXiv preprint arXiv:1208.5957},
year = {2022}
}
Comments
26 pages. DVI may not compile correctly; PDF is recommended. v3: extensive rewriting of proofs and exposition; main results are unchanged