Quandle twisted Alexander invariants

Atsushi Ishii; Kanako Oshiro

doi:5359ojm

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Home > Journals > Osaka J. Math. > Volume 59 > Issue 3 > Article

July 2022 Quandle twisted Alexander invariants

Atsushi Ishii, Kanako Oshiro

Author Affiliations +

Atsushi Ishii,¹ Kanako Oshiro²
¹Institute of Mathematics, University of Tsukuba
²Department of Information and Communication Sciences Sophia University

Osaka J. Math. 59(3): 683-702 (July 2022).

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Abstract

We establish a quandle version of the twisted Alexander polynomial. We also develop a theory that reduces the size of a twisted Alexander matrix with column relations. The reduced matrix can be used to refine invariants derived from the twisted Alexander matrix.