Twisted Alexander Polynomials of $(-2,3,2n+1)$-Pretzel Knots
Geometric Topology
2018-03-20 v1
Abstract
We calculate the twisted Alexander polynomials of -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.
Keywords
Cite
@article{arxiv.1803.06470,
title = {Twisted Alexander Polynomials of $(-2,3,2n+1)$-Pretzel Knots},
author = {Airi Aso},
journal= {arXiv preprint arXiv:1803.06470},
year = {2018}
}
Comments
8 pages, 2 figures