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The cohomology rings of Hilbert schemes via Jack polynomials

Wei-Ping Li·Zhenbo Qin·Weiqiang Wang
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Abstract

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 connections to Fock space and Jack polynomials.

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Wei-Ping Li, Zhenbo Qin, Weiqiang Wang. 2004-11-11. The cohomology rings of Hilbert schemes via Jack polynomials. https://arxiv.org/abs/math/0411255

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