6 research outputs found

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

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    We calculate the twisted Alexander polynomials of (2,3,2n+1)(-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.Comment: 8 pages, 2 figure

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

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    We calculate the twisted Alexander polynomials of (−2, 3, 2n + 1)-pretzel knots associated to their holonomy representations.首都大学東京, 2018-03-25, 修士(理学)首都大学東
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