%0 Journal Article
%T Twisted Alexander polynomials and ideal points giving Seifert surfaces
%A Takahiro Kitayama
%J Mathematics
%D 2014
%I arXiv
%X The coefficients of twisted Alexander polynomials of a knot induce regular functions of the $SL_2(\mathbb{C})$-character variety. We prove that the function of the highest degree has a finite value at an ideal point which gives a minimal genus Seifert surface by Culler-Shalen theory. It implies a partial affirmative answer to a conjecture by Dunfield, Friedl and Jackson.
%U http://arxiv.org/abs/1406.4626v1