Comptes Rendus
Topology
On a conjecture of Dunfield, Friedl and Jackson
Comptes Rendus. Mathématique, Volume 350 (2012) no. 19-20, pp. 921-924.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2012.10.013

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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