Quiver varieties and Frenkel-Kac construction
Representation Theory
2010-02-26 v1 Algebraic Geometry
Abstract
An affine Lie algebra acts on cohomology groups of quiver varieties of affine type. A Heisenberg algebra acts on cohomology groups of Hilbert schemes of points on a minimal resolution of a Kleinian singularity. We show that in the case of type the former is obtained by Frenkel-Kac construction from the latter.
Cite
@article{arxiv.math/0703107,
title = {Quiver varieties and Frenkel-Kac construction},
author = {Kentaro Nagao},
journal= {arXiv preprint arXiv:math/0703107},
year = {2010}
}
Comments
28pages