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

Hidetoshi Masai

Research output: Contribution to journalArticlepeer-review

Abstract

By the work of Thurston, it is known that if a hyperbolic fibered 3-manifold M has Betti number greater than 1, then M admits infinitely many distinct fibrations. For any fibration w 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.

Original languageEnglish
Article number1650028
JournalJournal of Knot Theory and its Ramifications
Volume25
Issue number5
DOIs
Publication statusPublished - 2016 Apr 1

Keywords

  • Fibered commensurability
  • fibered links
  • hyperbolic 3-manifolds
  • symmetry of manifolds

ASJC Scopus subject areas

  • Algebra and Number Theory

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