Twisted Alexander polynomials of 2-bridge knots for parabolic representations
classification
🧮 math.GT
keywords
knotsalexanderbridgeparabolictwistedaffirmativeanswerassociated
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In this paper we show that the twisted Alexander polynomial associated to a parabolic representation determines fiberedness and genus of a wide class of 2-bridge knots. As a corollary we give an affirmative answer to a conjecture of Dunfield, Friedl and Jackson for infinitely many hyperbolic knots.
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