Conway polynomials of two-bridge links

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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https://hal.archives-ouvertes.fr/hal-00538729
Contributor : Pierre-Vincent Koseleff <>
Submitted on : Saturday, July 2, 2011 - 11:51:00 PM
Last modification on : Friday, August 31, 2018 - 9:25:54 AM
Long-term archiving on: Monday, October 3, 2011 - 2:20:29 AM

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  • HAL Id : hal-00538729, version 2

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Pierre-Vincent Koseleff, Daniel Pecker. Conway polynomials of two-bridge links. 2010. ⟨hal-00538729v2⟩

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