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Twisted Alexander Polynomials of $(-2,3,2n+1)$-Pretzel Knots
Published 17 Mar 2018 in math.GT | (1803.06470v1)
Abstract: We calculate the twisted Alexander polynomials of $(-2,3,2n+1)$-pretzel knots associated to their holonomy representations. As a corollary, we obtain new supporting evidences of Dunfield, Friedl and Jackson's conjecture, that is, the twisted Alexander polynomials of hyperbolic knots associated to their holonomy representations determine the genus and fiberedness of the knots.
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