Twisted Alexander polynomials of 2-bridge knots
Geometric Topology
2012-06-12 v1
Abstract
We investigate the twisted Alexander polynomial of a 2-bridge knot associated to a Fox coloring. For several families of 2-bridge knots, including but not limited to, torus knots and genus-one knots, we derive formulae for these twisted Alexander polynomials. We use these formulae to confirm a conjecture of Hirasawa and Murasugi for these knots.
Keywords
Cite
@article{arxiv.1206.1894,
title = {Twisted Alexander polynomials of 2-bridge knots},
author = {Jim Hoste and Patrick D. Shanahan},
journal= {arXiv preprint arXiv:1206.1894},
year = {2012}
}
Comments
29 pages, 2 figures