English

Ext operators for wreath Macdonald polynomials

Quantum Algebra 2025-08-15 v1 Combinatorics Representation Theory

Abstract

We introduce a wreath Macdonald polynomial analogue of the Carlsson--Nekrasov--Okounkov vertex operator. As an application, we prove a modular (q,t)(q,t)-Nekrasov--Okounkov formula for r3r\ge 3 originally conjectured by Walsh and Warnaar.

Keywords

Cite

@article{arxiv.2508.10772,
  title  = {Ext operators for wreath Macdonald polynomials},
  author = {Seamus Albion Ferlinc and Joshua Jeishing Wen},
  journal= {arXiv preprint arXiv:2508.10772},
  year   = {2025}
}

Comments

v1 18 pages, comments welcome!

R2 v1 2026-07-01T04:50:11.302Z