Jack combinatorics of the equivariant edge measure

Published 4 Oct 2024 in math.CO and math.AG | (2410.03912v1)

Abstract: We study the equivariant edge measure: a measure on partitions which arises implicitly in the edge term in the localization computation of the Donaldson-Thomas invariants of a toric threefold. We combinatorially show that the equivariant edge measure is, up to choices of convention, equal to the Jack-Plancherel measure.

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