Small volume link orbifolds

Christopher K. Atkinson, David Futer

    Research output: Contribution to journalArticlepeer-review

    3 Scopus citations

    Abstract

    This paper proves lower bounds on the volume of a hyperbolic 3-orbifold whose singular locus is a link. We identify the unique smallest volume orbifold whose singular locus is a knot or link in the 3-sphere, or more generally in a ℤ6 homology sphere. We also prove more general lower bounds under mild homological hypotheses.

    Original languageEnglish (US)
    Pages (from-to)995-1016
    Number of pages22
    JournalMathematical Research Letters
    Volume20
    Issue number6
    DOIs
    StatePublished - 2013

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