Mom technology and volumes of hyperbolic 3-manifolds

David Gabai, Robert Meyerhoff, Peter Milley

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


This paper introduces Mom technology to understand low volume hyperbolic 3-manifolds; it is used in [GMM3] and [M1] to show that theWeeks manifold is the unique closed orientable hyperbolic 3-manifold of least volume. Here we enumerate the hyperbolic Mom-n manifolds for n ≤ 3, offer a conjectural enumeration when n = 4, and establish important technical results about embedding hyperbolic Mom-n manifolds into hyperbolic 3-manifolds.

Original languageEnglish (US)
Pages (from-to)145-188
Number of pages44
JournalCommentarii Mathematici Helvetici
Issue number1
StatePublished - 2011

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Hyperbolic 3-manifolds
  • Mom technology
  • Volume


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