no. 2
On the zeroes of the Alexander polynomial of a Lorenz knot
[Sur les racines du polynome d’Alexander d’un nœud de Lorenz]
Dehornoy, Pierre1
1 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
Annales de l'Institut Fourier, Tome 65 (2015) no. 2, pp. 509-548.

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.

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.

DOI : 10.5802/aif.2938
Classification : 57M27, 34C25, 37B40, 37E15, 57M25
Keywords: Lorenz knot, Alexander polynomial, monodromy, surface homeomorphism
Mot 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, Tome 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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