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The cohomology rings of Hilbert schemes via Jack polynomials

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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.

fields

hep-th 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Equivariant Interpolations in Topological Holography

hep-th · 2026-06-23 · unverdicted · novelty 5.0

Proposes solvable interpolations between small and large equivariant parameter regimes in Gromov-Witten theory on P1 as analogue for AdS3/CFT2 transitions, plus string theory embedding of P1 x C2 correspondence and Jack polynomial analysis of scaling limit.

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  • Equivariant Interpolations in Topological Holography hep-th · 2026-06-23 · unverdicted · none · ref 36 · internal anchor

    Proposes solvable interpolations between small and large equivariant parameter regimes in Gromov-Witten theory on P1 as analogue for AdS3/CFT2 transitions, plus string theory embedding of P1 x C2 correspondence and Jack polynomial analysis of scaling limit.