Circular characteristics and fibrations of hyperbolic closed 3-manifolds
Pré-print du CMLA 2011-09 - version du 1er décembre 2011
Documents à télécharger :
- CMLA2011-09.pdf (336 Ko)
Auteur : Claire Renard
Abstract :
This article provides sufficient conditions for a closed hyperbolic 3-manifold $M$ with non zero first Betti number to fiber over the circle, and to find a fiber in $M$.
Those conditions are formulated in terms of the behavior the circular characteristic in finite regular covers of $M$. We define the circular characteristic as an invariant associated to a non trivial cohomology class $alpha$ of $M$, using a Heegaard characteristic.
This article provides sufficient conditions for a closed hyperbolic 3-manifold $M$ with non zero first Betti number to fiber over the circle, and to find a fiber in $M$.
Those conditions are formulated in terms of the behavior the circular characteristic in finite regular covers of $M$. We define the circular characteristic as an invariant associated to a non trivial cohomology class $alpha$ of $M$, using a Heegaard characteristic.
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- Publication