A Lie theoretic categorification of the coloured Jones polynomial
Representation Theory
2021-09-28 v1 Geometric Topology
Quantum Algebra
Abstract
We use the machinery of categorified Jones-Wenzl projectors to construct a categorification of a type A Reshetikhin-Turaev invariant of oriented framed tangles where each strand is labeled by an arbitrary finite-dimensional representation. As a special case, we obtain a categorification of the coloured Jones polynomial of links.
Keywords
Cite
@article{arxiv.2109.12889,
title = {A Lie theoretic categorification of the coloured Jones polynomial},
author = {Catharina Stroppel and Joshua Sussan},
journal= {arXiv preprint arXiv:2109.12889},
year = {2021}
}