On commensurability of fibrations on a hyperbolic 3-manifold

Hidetoshi Masai

doi:10.2140/pjm.2013.266.313

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arXiv · 1210.0382

On commensurability of fibrations on a hyperbolic 3-manifold

Hidetoshi Masai

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Abstract

We discuss fibered commensurability of fibrations on a hyperbolic 3-manifold, a notion introduced by Calegari, Sun and Wang. We construct manifolds with non-symmetric but commensurable fibrations on the same fibered face. We also prove that if a given manifold M does not have any hidden symmetries, then M does not admit non-symmetric but commensu- rable fibrations. Finally, Theorem 3.1 of Calegari, Sun and Wang shows that every hyperbolic fibered commensurability class contains a unique minimal element. In this paper we provide a detailed discussion on the proof of the theorem in the cusped case.

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Hidetoshi Masai. 2012-10-01. On commensurability of fibrations on a hyperbolic 3-manifold. https://doi.org/10.2140/pjm.2013.266.313

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