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arXiv · 2008.00875

Twisted Alexander polynomials of tunnel number one Montesinos knots

Airi Aso
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Abstract

We calculate the twisted Alexander polynomials of all tunnel number one Montesinos knots associated to their $SL_2(\mathbb{C})$-representations and obtain their leading coefficients and degrees. As a corollary, we get some interesting examples, that is, nonfibered knots with monic Alexander polynomials which have non-monic twisted Alexander polynomials.

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Airi Aso. 2020-08-03. Twisted Alexander polynomials of tunnel number one Montesinos knots. https://arxiv.org/abs/2008.00875

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