Circular characteristics and fibrations of hyperbolic closed 3-manifolds
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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 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.References
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Additional Information
- Claire Renard
- Affiliation: École Normale Supérieure de Cachan, Centre de Mathématiques et de Leurs Applications, 61 avenue du Président Wilson, F-94235 Cachan Cedex, France
- Address at time of publication: 24 rue Audollent, 63000 Clermont-Ferrand, France
- Received by editor(s): December 1, 2011
- Received by editor(s) in revised form: September 10, 2012, September 24, 2012, and October 25, 2012
- Published electronically: June 20, 2014
- Communicated by: Daniel Ruberman
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 3649-3664
- MSC (2010): Primary 57M27; Secondary 57M10, 57M50, 20F67
- DOI: https://doi.org/10.1090/S0002-9939-2014-12079-X
- MathSciNet review: 3238440