Séminaire Lotharingien de Combinatoire, 93B.7 (2025), 12 pp.

Kyla Pohl and Benjamin Young

Jack Combinatorics of the Equivariant Edge Measure

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.

Received: November 15, 2024. Accepted: February 15, 2025. Final version: April 1, 2025.

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