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Mathematics > Geometric Topology

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

Authors: Airi Aso
Abstract: 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.
Comments: 8 pages, 2 figures
Subjects: Geometric Topology (math.GT)
Cite as: arXiv:1803.06470 [math.GT]
  (or arXiv:1803.06470v1 [math.GT] for this version)

Submission history

From: Airi Aso [view email]
[v1] Sat, 17 Mar 2018 06:12:51 GMT (168kb)