On a conjecture of Dunfield, Friedl and Jackson

Takayuki Morifuji

doi:10.1016/j.crma.2012.10.013

Topology

On a conjecture of Dunfield, Friedl and Jackson
[Sur une conjecture de Dunfield, Friedl et Jackson]

Présenté par : the Editorial Board

Takayuki Morifuji ¹

¹ Department of Mathematics, Hiyoshi Campus, Keio University, Yokohama 223-8521, Japan

Comptes Rendus. Mathématique, Volume 350 (2012) no. 19-20, pp. 921-924.

Résumé
Abstract

Dans cette courte Note, nous montrons que le polynome Alexander tordu a associe a une representation parabolique detecte genre et fibering des noeuds de la torsion. Comme un corollaire, une conjecture de Dunfield, Friedl et Jackson est prouvee pour les noeuds de la torsion hyperboliques.

In this short Note, we show that the twisted Alexander polynomial associated to a parabolic $SL (2, C)$ -representation detects genus and fibering of the twist knots. As a corollary, a conjecture of Dunfield, Friedl and Jackson is proved for the hyperbolic twist knots.

Reçu le : 2012-09-19
Accepté le : 2012-10-10
Publié le : 2012-10-01

DOI : 10.1016/j.crma.2012.10.013

Affiliations des auteurs :

Takayuki Morifuji ¹

¹ Department of Mathematics, Hiyoshi Campus, Keio University, Yokohama 223-8521, Japan

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Takayuki Morifuji. On a conjecture of Dunfield, Friedl and Jackson. Comptes Rendus. Mathématique, Volume 350 (2012) no. 19-20, pp. 921-924. doi : 10.1016/j.crma.2012.10.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.10.013/

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