Teruaki Kitano, Takayuki Morifuji
We prove that the twisted Alexander polynomial of a torus knot with an irreducible SL(2,C)-representation is locally constant. In the case of a (2, q) torus knot, we can give an explicit formula for the twisted Alexander polynomial and deduce Hirasawa-Murasugi’s formula for the total twisted Alexander polynomial.
We also give examples which address a mis-statement in a paper of Silver and Williams.
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