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Twisted Alexander polynomials and ideal points giving Seifert surfaces

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 نشر من قبل Takahiro Kitayama
 تاريخ النشر 2014
  مجال البحث
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 تأليف Takahiro Kitayama




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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.



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