English

Macdonald polynomials and operators and Catalan Combinatorics

Combinatorics 2021-12-21 v1 Quantum Algebra

Abstract

Our main aim with these notes is to introduce the combinatorial and symmetric function tools that relate to the description of the Poincare polynomial of the triply graded Khovanov-Rozansky homology of torus links, a.k.a. the (reduced) superpolynomial of these links.

Keywords

Cite

@article{arxiv.2112.09800,
  title  = {Macdonald polynomials and operators and Catalan Combinatorics},
  author = {François Bergeron},
  journal= {arXiv preprint arXiv:2112.09800},
  year   = {2021}
}

Comments

25 Pages. Notes written in the context of the AIM Research Community on Link Homology

R2 v1 2026-06-24T08:22:44.283Z