Circular characteristics and fibrations of hyperbolic closed 3-manifolds

Renard, Claire

doi:10.1090/S0002-9939-2014-12079-X

Circular characteristics and fibrations of hyperbolic closed 3-manifolds
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Proc. Amer. Math. Soc. 142 (2014), 3649-3664 Request permission

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 of 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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