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Divisibility of twisted Alexander polynomials and fibered knots

Teruaki Kitano; Takayuki Morifuji — 2005

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We prove that Wada’s twisted Alexander polynomial of a knot group associated to any nonabelian $S L (2, 𝔽)$ -representation is a polynomial. As a corollary, we show that it is always a monic polynomial of degree $4 g - 2$ for a fibered knot of genus $g$ .

A partial order in the knot table.

Kitano, Teruaki; Suzuki, Masaaki — 2005

Experimental Mathematics

Twisted Alexander polynomials and surjectivity of a group homomorphism.

Kitano, Teruaki; Suzuki, Masaaki; Wada, Masaaki — 2005

Algebraic & Geometric Topology

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