[Sur une conjecture de Dunfield, Friedl et Jackson]
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 -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.
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@article{CRMATH_2012__350_19-20_921_0,
author = {Takayuki Morifuji},
title = {On a conjecture of {Dunfield,} {Friedl} and {Jackson}},
journal = {Comptes Rendus. Math\'ematique},
pages = {921--924},
publisher = {Elsevier},
volume = {350},
number = {19-20},
year = {2012},
doi = {10.1016/j.crma.2012.10.013},
language = {en},
}
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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