arXiv subjects

Airi Aso

Publications and source records attributed to Airi Aso.

2 recordsLinked to original sources

arXiv2020

Twisted Alexander polynomials of tunnel number one Montesinos knots

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.

math.GT↗

arXiv2018

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

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.

math.GT↗