Circular characteristics and fibrations of hyperbolic closed 3-manifolds

Claire Renard

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arXiv · 1112.0120

Circular characteristics and fibrations of hyperbolic closed 3-manifolds

Claire Renard

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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 $α$ of $M$, using a Heegaard characteristic.

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Claire Renard. 2011-12-01. Circular characteristics and fibrations of hyperbolic closed 3-manifolds. https://arxiv.org/abs/1112.0120

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