17 citations · 20 across the 7 of their papers we have counts for
26 papers
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…
The Bloch-Okounkov correlation functions at higher levels
Shun-Jen Cheng, Weiqiang Wang
We establish an explicit formula for the n-point correlation functions in the sense of Bloch-Okounkov for the irreducible representations of and of…
Correlation functions of strict partitions and twisted Fock spaces
Weiqiang Wang
Using twisted Fock spaces, we formulate and study two twisted versions of the n-point correlation functions of Bloch-Okounkov, and then identify them with q-expectation values of c…
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…
Universal rings arising in geometry and group theory
Weiqiang Wang
Various algebraic structures in geometry and group theory have appeared to be governed by certain universal rings. Examples include: the cohomology rings of Hilbert schemes of poin…