[Fibration virtuelle de certains revêtements de , ramifiés au-dessus du nœud de huit]
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.
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.
Accepté le :
Publié le :
Bergeron, Nicolas 1
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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},
year = {2008},
publisher = {Elsevier},
volume = {346},
number = {19-20},
doi = {10.1016/j.crma.2008.09.014},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.crma.2008.09.014/}
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AU - Bergeron, Nicolas
TI - Virtual fibering of certain cover of $ {\mathbb{S}}^{3}$, branched over the figure eight knot
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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
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