Autor:	Ishikawa, Katsumi, Morifuji, Takayuki, Suzuki, Masaaki
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology Primary 57K14 Secondary 57K10
Druh dokumentu:	Working Paper
Popis:	Based on a vanishing theorem for non-fibered knots due to Friedl and Vidussi, we define the twisted Alexander vanishing order of a knot to be the order of the smallest finite group such that the corresponding twisted Alexander polynomial is zero. In this paper, we show its basic properties, and provide several explicit values for knots with $10$ or fewer crossings. Moreover, we characterize a finite group admitting the zero-twisted Alexander polynomial. Comment: 16 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.10936 Zobrazit plný text záznamu View this record from Arxiv