On commensurability of fibrations on a hyperbolic 3-manifold

Hidetoshi Masai

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We discuss fibered commensurability of fibrations on hyperbolic 3-manifolds, a notion introduced by Calegari, Sun, and Wang (Pacific J. Math. 250:2 (2011), 287-317). We construct manifolds with nonsymmetric but commensurable fibrations on the same fibered face, and prove that if a given manifoldM does not have hidden symmetries, thenM does not admit nonsymmetric but commensurable fibrations. It was also proved by Calegari et al that every hyperbolic fibered commensurability class contains a unique minimal element. Here we provide a detailed discussion on the proof of the theorem in the cusped case.

Original languageEnglish
Pages (from-to)313-327
Number of pages15
JournalPacific Journal of Mathematics
Volume266
Issue number2
DOIs
Publication statusPublished - 2013

Keywords

  • Commensurability
  • Fibration
  • Hyperbolic manifold

ASJC Scopus subject areas

  • Mathematics(all)

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