Divisibility of twisted Alexander polynomials and fibered knots

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Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 4 (1):179-186 (2005)
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Abstract

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

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10.2422/2036-2145.2005.1.06

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Twisted Alexander polynomials for SL-irreducible representations of torus knots.Teruaki Kitano & Takayuki Morifuji - 2012 - Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 11 (2):395-406.

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