17 citations · 20 across the 7 of their papers we have counts for
11 papers · 1 filter
The cohomology rings of Hilbert schemes via Jack polynomials
Wei-Ping Li, Zhenbo Qin, Weiqiang Wang
In this note, generalizing earlier work of Nakajima and Vasserot, we study the (equivariant) cohomology rings of Hilbert schemes of certain toric surfaces and establish their conne…
Integral operators and integral cohomology classes of Hilbert schemes
Zhenbo Qin, Weiqiang Wang
The methods of integral operators on the cohomology of Hilbert schemes of points on surfaces are developed. They are used to establish integral bases for the cohomology groups of H…
Hilbert schemes, integrable hierarchies, and Gromov-Witten theory
Wei-Ping Li, Zhenbo Qin, Weiqiang Wang
Various equivariant intersection numbers on Hilbert schemes of points on the affine plane are computed, some of which are organized into tau-functions of 2-Toda hierarchies. A corr…
Ideals of the cohomology rings of Hilbert schemes and their applications
Wei-Ping Li, Zhenbo Qin, Weiqiang Wang
We study the ideals of the rational cohomology ring of the Hilbert scheme X^{[n]} of n points on a smooth projective surface X. As an application, for a large class of smooth quasi…
Hilbert schemes and symmetric products: a dictionary
Zhenbo Qin, Weiqiang Wang
Given a closed complex manifold of even dimension, we develop a systematic (vertex) algebraic approach to study the rational orbifold cohomology rings $\orbsym$ of the symmetri…
Hilbert schemes and W algebras
Wei-Ping Li, Zhenbo Qin, Weiqiang Wang
We construct geometrically the generating fields of a W algebra which acts irreducibly on the direct sum of the cohomology rings of the Hilbert schemes of n points on a projective…