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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2024, Number 87, Pages 11–21
DOI: https://doi.org/10.17223/19988621/87/2 (Mi vtgu1052) 		 
MATHEMATICS

Reidemeister torsion of link complements in a 3-torus

Bao Vuong

Tomsk State University, Tomsk, Russian Federation
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DOI: https://doi.org/10.17223/19988621/87/2
Abstract: We prove that the Reidemeister torsion and the twisted Alexander polynomial of the complement of a link in a three-dimensional torus are the same.
Keywords: knots, links, three-dimensional torus, twisted Alexander polynomial, Reidemeister torsion, $CW$-complex, Fox calculus.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-943
This work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2023-943).
Received: 19.09.2023
Accepted: February 12, 2024
Document Type: Article
UDC: 515.162
MSC: 57M27, 57M05
Language: English
Citation: Bao Vuong, “Reidemeister torsion of link complements in a 3-torus”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 87, 11–21
Citation in format AMSBIB
\Bibitem{Vuo24}
\by Bao~Vuong
\paper Reidemeister torsion of link complements in a 3-torus
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2024
\issue 87
\pages 11--21
\mathnet{http://mi.mathnet.ru/vtgu1052}
\crossref{https://doi.org/10.17223/19988621/87/2}
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    		Вестник Томского государственного университета. Математика и механика
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