Conway polynomials of two-bridge links

Details Conway polynomials of two-bridge links Conway polynomials of two-bridge links

2010-11-27

arxiv.org/abs/1011.5992v2

Mathematics

Geometric Topology

15 p

Scientific paper

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.

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