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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2022, Volume 116, Issue 3, Pages 181–188
DOI: https://doi.org/10.31857/S1234567822150095 (Mi jetpl6729) 		 
This article is cited in 3 scientific papers (total in 3 papers)

METHODS OF THEORETICAL PHYSICS

Overview of knot invariants at roots of unity

L. Bishlerab

a Lebedev Physics Institute, Russian Academy of Sciences, Moscow, 119991 Russia
b Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, 127994 Russia
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DOI: https://doi.org/10.31857/S1234567822150095
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.
Funding agency Grant number
Russian Foundation for Basic Research 21-52-52004
This work was supported in part by the Russian Foundation for Basic Research, project no. 21-52-52004.
Received: 02.06.2022
Revised: 24.06.2022
Accepted: 26.06.2022
English version:
Journal of Experimental and Theoretical Physics Letters, 2022, Volume 116, Issue 3, Pages 185–191
DOI: https://doi.org/10.1134/S0021364022601294
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. Bishler, “Overview of knot invariants at roots of unity”, Pis'ma v Zh. Èksper. Teoret. Fiz., 116:3 (2022), 181–188; JETP Letters, 116:3 (2022), 185–191
Citation in format AMSBIB
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\by L.~Bishler
\paper Overview of knot invariants at roots of unity
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2022
\vol 116
\issue 3
\pages 181--188
\mathnet{http://mi.mathnet.ru/jetpl6729}
\crossref{https://doi.org/10.31857/S1234567822150095}
\edn{https://elibrary.ru/jgndjq}
\transl
\jour JETP Letters
\yr 2022
\vol 116
\issue 3
\pages 185--191
\crossref{https://doi.org/10.1134/S0021364022601294}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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