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Ext operators for wreath Macdonald polynomials

Published 14 Aug 2025 in math.QA, math.CO, and math.RT | (2508.10772v1)

Abstract: We introduce a wreath Macdonald polynomial analogue of the Carlsson--Nekrasov--Okounkov vertex operator. As an application, we prove a modular $(q,t)$-Nekrasov--Okounkov formula for $r\ge 3$ originally conjectured by Walsh and Warnaar.

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