Ext operators for wreath Macdonald polynomials

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-14
Primary Topic
Lexicography and Language Studies
Type
article
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article

Ext operators for wreath Macdonald polynomials

ArXiv.org
Lexicography and Language Studies
article

Ext operators for wreath Macdonald polynomials

article en

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.

ArXiv.org
Openalex Percentile: Top 39%
Lexicography and Language Studies
Open Access PDFOpenAlex
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Ext operators for wreath Macdonald polynomials · ArXiv.org (2025) | TGRS Research Map | TGRS