Séminaire Lotharingien de Combinatoire, 95B.85 (2026), 12 pp.
Seamus Albion Ferlinc and Joshua Jeishing Wen
A Modular (q,t)-Nekrasov-Okounkov Formula and Wreath Macdonald Polynomials
Abstract.
We prove a modular analogue of the
(q,t)-Nekrasov-Okounkov formula for all
integers r ≥ 3, originally conjectured by Walsh and
Warnaar. Our proof is based on an analogue of the
Carlsson-Nekrasov-Okounkov vertex operator for wreath Macdonald
polynomials.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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