Twisted Alexander polynomials of tunnel number one Montesinos knots

Airi Aso

备注：: 33 pages, 9 figures

英文摘要：

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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