Arkiv för Matematik

Volume 62 (2024)

Number 1

A formula to evaluate type-A webs and link polynomials

Pages: 83 – 101

DOI: https://dx.doi.org/10.4310/ARKIV.2024.v62.n1.a5

Authors

Abel Lacabanne (Laboratoire de Mathématiques Blaise Pascal (UMR 6620), Université Clermont Auvergne, France)

Daniel Tubbenhauer (School of Mathematics and Statistics, University of Sydney, NSW, Australia)

Pedro Vaz (Institut de Recherche en Mathématique et Physique, Université Catholique de Louvain, Louvain-la-Neuve, Belgium)

Abstract

We give a closed formula to evaluate exterior webs (also called MOY webs) and the associated Reshetikhin–Turaev link polynomials.

Keywords

webs and spiders, link polynomials, categorical skew Howe duality, web algebras, KLR algebras

Received 2 December 2022

Received revised 26 May 2023

Accepted 7 June 2023

Published 1 June 2024