Twisted Alexander vanishing order of knots II

Fuente: arXiv
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Autores principales: Ishikawa, Katsumi, Morifuji, Takayuki, Suzuki, Masaaki
Formato: Preprint
Publicado: 2025
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author Ishikawa, Katsumi
Morifuji, Takayuki
Suzuki, Masaaki
author_facet Ishikawa, Katsumi
Morifuji, Takayuki
Suzuki, Masaaki
contents In our previous work, we introduced the notion of the twisted Alexander vanishing order of knots, defined as the order of the smallest finite group for which the corresponding twisted Alexander polynomial vanishes. In this paper, we explore several properties of this invariant in detail and present a list of twisted Alexander vanishing groups of order less than $201$.
format Preprint
id arxiv_https___arxiv_org_abs_2510_25574
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Twisted Alexander vanishing order of knots II
Ishikawa, Katsumi
Morifuji, Takayuki
Suzuki, Masaaki
Geometric Topology
Primary 57K14, Secondary 57K10
In our previous work, we introduced the notion of the twisted Alexander vanishing order of knots, defined as the order of the smallest finite group for which the corresponding twisted Alexander polynomial vanishes. In this paper, we explore several properties of this invariant in detail and present a list of twisted Alexander vanishing groups of order less than $201$.
title Twisted Alexander vanishing order of knots II
topic Geometric Topology
Primary 57K14, Secondary 57K10
url https://arxiv.org/abs/2510.25574