[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 = {Morifuji, Takayuki},
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},
url = {http://www.numdam.org/articles/10.1016/j.crma.2012.10.013/}
}
TY - JOUR AU - Morifuji, Takayuki TI - On a conjecture of Dunfield, Friedl and Jackson JO - Comptes Rendus. Mathématique PY - 2012 SP - 921 EP - 924 VL - 350 IS - 19-20 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2012.10.013/ DO - 10.1016/j.crma.2012.10.013 LA - en ID - CRMATH_2012__350_19-20_921_0 ER -
%0 Journal Article %A Morifuji, Takayuki %T On a conjecture of Dunfield, Friedl and Jackson %J Comptes Rendus. Mathématique %D 2012 %P 921-924 %V 350 %N 19-20 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2012.10.013/ %R 10.1016/j.crma.2012.10.013 %G en %F CRMATH_2012__350_19-20_921_0
Morifuji, Takayuki. On a conjecture of Dunfield, Friedl and Jackson. Comptes Rendus. Mathématique, Tome 350 (2012) no. 19-20, pp. 921-924. doi : 10.1016/j.crma.2012.10.013. http://www.numdam.org/articles/10.1016/j.crma.2012.10.013/
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