no. 2
On the zeroes of the Alexander polynomial of a Lorenz knot
Dehornoy, Pierre1
1 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
Annales de l'Institut Fourier, Volume 65 (2015) no. 2, pp. 509-548.

We show that the zeroes of the Alexander polynomial of a Lorenz knot all lie in some annulus whose width depends explicitly on the genus and the braid index of the considered knot.

On montre que les racines du polynome d’Alexander d’un nœud de Lorenz sont situées dans un anneau dont l’épaisseur dépend explicitement du genre et de l’indice de tresse du nœud considéré.

DOI: 10.5802/aif.2938
Classification: 57M27, 34C25, 37B40, 37E15, 57M25
Keywords: Lorenz knot, Alexander polynomial, monodromy, surface homeomorphism
Mots-clés : Nœud de Lorenz, polynome d’Alexander, monodromie, homéomorphisme de surface

Dehornoy, Pierre 1

1 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland 
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Dehornoy, Pierre. On the zeroes of the Alexander polynomial of a Lorenz knot. Annales de l'Institut Fourier, Volume 65 (2015) no. 2, pp. 509-548. doi : 10.5802/aif.2938. https://aif.centre-mersenne.org/articles/10.5802/aif.2938/

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