17 citations · 23 across the 5 of their papers we have counts for
11 papers
On the Euler numbers of certain moduli spaces of curves and points
Wei-Ping Li, Zhenbo Qin
We determine the topological Euler number of certain moduli space of 1-dimensional closed subschemes in a smooth projective variety which admits a Zariski-locally trivial fibration…
The Donaldson-Thomas invariants under blowups and flops
Jianxun Hu, Wei-Ping Li
Using the degeneration formula for Doanldson-Thomas invariants, we proved formulae for blowing up a point and simple flops.
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…
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 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…