Conway polynomials of two-bridge links

P. -V. Koseleff; D. Pecker

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arXiv · 1011.5992

Conway polynomials of two-bridge links

P. -V. Koseleff·D. Pecker

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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.

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BibTeX RIS

P. -V. Koseleff, D. Pecker. 2010-11-27. Conway polynomials of two-bridge links. https://arxiv.org/abs/1011.5992

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