On Alexander-Conway polynomials of two-bridge links - Archive ouverte HAL Access content directly
Reports Year : 2012

On Alexander-Conway polynomials of two-bridge links

Abstract

We consider Conway polynomials of two-bridge links as Euler continuant polynomials. As a consequence, we obtain simple proofs of the classical theorems of Murasugi and Hartley on Alexander polynomials. 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. We easily obtain some bounds for the roots of the Alexander polynomials of two-bridge links.
Fichier principal
Vignette du fichier
kp-mega2.pdf (241.26 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00778808 , version 1 (21-01-2013)
hal-00778808 , version 2 (29-09-2013)

Identifiers

Cite

Pierre-Vincent Koseleff, Daniel Pecker. On Alexander-Conway polynomials of two-bridge links. 2012. ⟨hal-00778808v1⟩
314 View
357 Download

Altmetric

Share

Gmail Facebook X LinkedIn More