L. Bishler, “Overview of knot invariants at roots of unity”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2022, Volume 116, Issue 3,Pages <nobr>181

This article is cited in 3 papers

METHODS OF THEORETICAL PHYSICS

Overview of knot invariants at roots of unity

L. Bishler^ab

^a Lebedev Physics Institute, Russian Academy of Sciences, Moscow, 119991 Russia
^b Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127994 Russia

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 $\mathcal{U}_q(sl_N)$ and highlight the connections between different invariants.

Received: 02.06.2022
Revised: 24.06.2022
Accepted: 26.06.2022

DOI: 10.31857/S1234567822150095