English

Overview of knot invariants at roots of unity

High Energy Physics - Theory 2022-08-10 v1 Geometric Topology Quantum Algebra Representation Theory

Abstract

We discuss different invariants of knots and links that depend on a primitive root of unity. We clarify the definitions of existing invariants with the Reshetikhin-Turaev method, present the generalization of ADO invariants to Uq(slN)\mathcal{U}_q(sl_N) and highlight the connections between different invariants.

Keywords

Cite

@article{arxiv.2207.01882,
  title  = {Overview of knot invariants at roots of unity},
  author = {Liudmila Bishler},
  journal= {arXiv preprint arXiv:2207.01882},
  year   = {2022}
}

Comments

8 pages, 6 figures