209 citations · 1.5k across the 128 of their papers we have counts for
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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…
Super duality and Kazhdan-Lusztig polynomials
Shun-Jen Cheng, Weiqiang Wang, R. B. Zhang
We establish a direct connection between the representation theories of Lie algebras and Lie superalgebras (of type A) via Fock space reformulations of their Kazhdan-Lusztig theori…
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 of points on the minimal resolution and soliton equations
Zhenbo Qin, Weiqiang Wang
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 connection…