Commensurability of 1-cusped hyperbolic 3-manifolds

Danny Calegari, Nathan M. Dunfield

Research output: Contribution to journalArticlepeer-review


We give examples of non-fibered hyperbolic knot complements in homology spheres that are not commensurable to fibered knot complements in homology spheres. In fact, we give many examples of knot complements in homology spheres where every commensurable knot complement in a homology sphere has non-monic Alexander polynomial.

Original languageEnglish (US)
Pages (from-to)2955-2969
Number of pages15
JournalTransactions of the American Mathematical Society
Issue number7
StatePublished - 2002
Externally publishedYes


  • Alexander polynomial
  • Character variety
  • Commensurability
  • Virtual Fibration Conjecture

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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