Conway polynomials of two-bridge links
Geometric Topology
2012-03-22 v2
Abstract
We give necessary conditions for a polynomial to be the Conway polynomial of a two-bridge link. As a consequence, we obtain simple proofs of the classical theorems of Murasugi and Hartley. We give a modulo 2 congruence for links, which implies the classical modulo 2 Murasugi congruence for knots. We also give sharp bounds for the coefficients of the Conway and Alexander polynomials of a two-bridge link. These bounds improve and generalize those of Nakanishi and Suketa.
Cite
@article{arxiv.1011.5992,
title = {Conway polynomials of two-bridge links},
author = {P. -V. Koseleff and D. Pecker},
journal= {arXiv preprint arXiv:1011.5992},
year = {2012}
}
Comments
15 p