2021/07/14 by Yuta Taniguchi, Taniguchi, Yuta
Mathematics · Medicine · Computer Science · #Geometric and Algebraic Topology #Botulinum Toxin and Related Neurological Disorders #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.2107.06561
A. Ishii and K. Oshiro introduced the notion of an f-twisted Alexander matrix. This notion is a quandle version of the twisted Alexander matrix which was introduced by M. Wada. They showed that the twisted Alexander matrix of a pair of a link group and a group representation can be recovered from the f-twisted Alexander matrix of a pair of a link quandle and a quandle homomorphism. In this paper, we study a relationship between the f-twisted Alexander matrix and the quandle cocycle invariant. As an application, we show that an f-twisted Alexander invariant of knot quandles is a really stronger oriented knot invariant than a twisted Alexander invariant of knot groups.