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arXiv · 2508.10772

Ext operators for wreath Macdonald polynomials

Seamus Albion Ferlinc·Joshua Jeishing Wen
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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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Seamus Albion Ferlinc, Joshua Jeishing Wen. 2025-08-14. Ext operators for wreath Macdonald polynomials. https://arxiv.org/abs/2508.10772

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