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The cohomology rings of Hilbert schemes via Jack polynomials

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arxiv math/0411255 v1 pith:NMSKSSJV submitted 2004-11-11 math.AG math.QA

The cohomology rings of Hilbert schemes via Jack polynomials

Wei-Ping Li , Zhenbo Qin , Weiqiang Wang This is my paper
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keywords cohomologyhilbertjackpolynomialsringsschemescertainconnections
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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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