Hilbert schemes of points on the minimal resolution and soliton equations
Quantum Algebra
2011-11-10 v2 Algebraic Geometry
Abstract
The equivariant and ordinary cohomology rings of Hilbert schemes of points on the minimal resolution C^2//G for cyclic G are studied using vertex operator technique, and connections between these rings and the class algebras of wreath products are explicitly established. We further show that certain generating functions of equivariant intersection numbers on the Hilbert schemes and related moduli spaces of sheaves on C^2//G are tau functions of 2-Toda hierarchies.
Keywords
Cite
@article{arxiv.math/0404540,
title = {Hilbert schemes of points on the minimal resolution and soliton equations},
author = {Zhenbo Qin and Weiqiang Wang},
journal= {arXiv preprint arXiv:math/0404540},
year = {2011}
}
Comments
minor changes, use of AMS Contemp. Math. format, latex, 28 pages, to appear in Lepowsky-Wilson volume