Refined Chern-Simons theory and Hilbert schemes of points on the plane
Algebraic Geometry
2016-08-25 v2 High Energy Physics - Theory
Geometric Topology
Quantum Algebra
Abstract
Aganagic and Shakirov propose a refinement of the SU(N) Chern-Simons theory for links in three manifolds with S^1-symmetry, such as torus knots in S^3, based on deformation of the S and T matrices, originally found by Kirillov and Cherednik. We relate the large N limit of the S matrix to the Hilbert schemes of points on the affine plane. As an application, we find an explicit formula for the Euler characteristics of the universal sheaf, applied arbitrary Schur functor.
Keywords
Cite
@article{arxiv.1211.5821,
title = {Refined Chern-Simons theory and Hilbert schemes of points on the plane},
author = {Hiraku Nakajima},
journal= {arXiv preprint arXiv:1211.5821},
year = {2016}
}
Comments
25 pages, 1 figure; v2, Prepublication Draft