Heisenberg categorification and Hilbert schemes
Quantum Algebra
2019-12-19 v3 Algebraic Geometry
Abstract
Given a finite subgroup G of SL(2,C) we define an additive 2-category H^G whose Grothendieck group is isomorphic to an integral form of the Heisenberg algebra. We construct an action of H^G on derived categories of coherent sheaves on Hilbert schemes of points on the minimal resolutions of C^2/G.
Keywords
Cite
@article{arxiv.1009.5147,
title = {Heisenberg categorification and Hilbert schemes},
author = {Sabin Cautis and Anthony Licata},
journal= {arXiv preprint arXiv:1009.5147},
year = {2019}
}
Comments
53 pages