Twisted Alexander vanishing order of knots II

Katsumi Ishikawa; Takayuki Morifuji; Masaaki Suzuki

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arXiv · 2510.25574

Twisted Alexander vanishing order of knots II

Katsumi Ishikawa·Takayuki Morifuji·Masaaki Suzuki

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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 $201$.

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Katsumi Ishikawa, Takayuki Morifuji, Masaaki Suzuki. 2025-10-29. Twisted Alexander vanishing order of knots II. https://arxiv.org/abs/2510.25574

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