The cohomology rings of Hilbert schemes via Jack polynomials

Mathematics – Algebraic Geometry

Scientific paper

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Appeared in a CRM proceedings edited by Hurtubise and Markman

Scientific paper

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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