[Fibration virtuelle de certains revêtements de , ramifiés au-dessus du nœud de huit]
Dans cette Note nous démontrons qu'il existe un entier tel que si M est une 3-variété compacte orientable qui est un revêtement ramifié de , ramifié au-dessus du nœud de huit et dont tous les indices de ramification sont égaux à un même entier pair , alors M possède un revêtement fini qui fibre sur le cercle.
In this Note we prove that there exists some integer such that if M is a closed, orientable 3-manifold which is a branched cover of , branched over the figure eight knot with all branching indices equal to a common even integer , then M has a finite index cover which fibers over the circle.
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@article{CRMATH_2008__346_19-20_1073_0,
author = {Bergeron, Nicolas},
title = {Virtual fibering of certain cover of $ {\mathbb{S}}^{3}$, branched over the figure eight knot},
journal = {Comptes Rendus. Math\'ematique},
pages = {1073--1078},
publisher = {Elsevier},
volume = {346},
number = {19-20},
year = {2008},
doi = {10.1016/j.crma.2008.09.014},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2008.09.014/}
}
TY - JOUR
AU - Bergeron, Nicolas
TI - Virtual fibering of certain cover of $ {\mathbb{S}}^{3}$, branched over the figure eight knot
JO - Comptes Rendus. Mathématique
PY - 2008
SP - 1073
EP - 1078
VL - 346
IS - 19-20
PB - Elsevier
UR - http://www.numdam.org/articles/10.1016/j.crma.2008.09.014/
DO - 10.1016/j.crma.2008.09.014
LA - en
ID - CRMATH_2008__346_19-20_1073_0
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%0 Journal Article
%A Bergeron, Nicolas
%T Virtual fibering of certain cover of $ {\mathbb{S}}^{3}$, branched over the figure eight knot
%J Comptes Rendus. Mathématique
%D 2008
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%V 346
%N 19-20
%I Elsevier
%U http://www.numdam.org/articles/10.1016/j.crma.2008.09.014/
%R 10.1016/j.crma.2008.09.014
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%F CRMATH_2008__346_19-20_1073_0
Bergeron, Nicolas. Virtual fibering of certain cover of $ {\mathbb{S}}^{3}$, branched over the figure eight knot. Comptes Rendus. Mathématique, Tome 346 (2008) no. 19-20, pp. 1073-1078. doi : 10.1016/j.crma.2008.09.014. http://www.numdam.org/articles/10.1016/j.crma.2008.09.014/
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