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.

UDC: 515.162

MSC: 57M27, 57M05

Received: 19.09.2023
Accepted: February 12, 2024

Language: English

DOI: 10.17223/19988621/87/2