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MATHEMATICS
Reidemeister torsion of link complements in a 3-torus
Bao Vuong Tomsk State University, Tomsk, Russian Federation
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.
Received: 19.09.2023 Accepted: February 12, 2024
Citation:
Bao Vuong, “Reidemeister torsion of link complements in a 3-torus”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 87, 11–21
Linking options:
https://www.mathnet.ru/eng/vtgu1052 https://www.mathnet.ru/eng/vtgu/y2024/i87/p11
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Statistics & downloads: |
Abstract page: | 18 | Full-text PDF : | 5 | References: | 4 |
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