English

Haglund's conjecture for multi-$t$ Macdonald polynomials

Combinatorics 2023-02-15 v3

Abstract

We provide new approaches to prove identities for the modified Macdonald polynomials via their LLT expansions. As an application, we prove a conjecture of Haglund concerning the multi-tt-Macdonald polynomials of two rows.

Keywords

Cite

@article{arxiv.2203.04590,
  title  = {Haglund's conjecture for multi-$t$ Macdonald polynomials},
  author = {Seung Jin Lee and Jaeseong Oh and Brendon Rhoades},
  journal= {arXiv preprint arXiv:2203.04590},
  year   = {2023}
}

Comments

Title and abstract changed. Accepted in Discrete Mathematics

R2 v1 2026-06-24T10:07:02.302Z