Twisted Alexander Polynomials of $(-2,3,2n+1)$-Pretzel Knots

Airi Aso

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arXiv · 1803.06470

Twisted Alexander Polynomials of $(-2,3,2n+1)$-Pretzel Knots

Airi Aso

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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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Airi Aso. 2018-03-17. Twisted Alexander Polynomials of $(-2,3,2n+1)$-Pretzel Knots. https://arxiv.org/abs/1803.06470

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