On the number of commensurable fibrations on a hyperbolic 3-manifold

Hidetoshi Masai

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arXiv · 1403.0680

On the number of commensurable fibrations on a hyperbolic 3-manifold

Hidetoshi Masai

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Abstract

By a work of Thurston, it is known that if a hyperbolic fibred $3$-manifold $M$ has Betti number greater than 1, then $M$ admits infinitely many distinct fibrations. For any fibration $ω$ on a hyperbolic $3$-manifold $M$, the number of fibrations on $M$ that are commensurable in the sense of Calegari-Sun-Wang to $ω$ is known to be finite. In this paper, we prove that the number can be arbitrarily large.

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Hidetoshi Masai. 2014-03-04. On the number of commensurable fibrations on a hyperbolic 3-manifold. https://arxiv.org/abs/1403.0680

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