English

Twisted Alexander vanishing order of knots II

Geometric Topology 2025-10-30 v1

Abstract

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 201201.

Keywords

Cite

@article{arxiv.2510.25574,
  title  = {Twisted Alexander vanishing order of knots II},
  author = {Katsumi Ishikawa and Takayuki Morifuji and Masaaki Suzuki},
  journal= {arXiv preprint arXiv:2510.25574},
  year   = {2025}
}

Comments

27 pages, 1 figure