Small volume link orbifolds

Christopher K. Atkinson; David Futer

doi:10.4310/mrl.2013.v20.n6.a1

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arXiv · 1211.5057

Small volume link orbifolds

Christopher K. Atkinson·David Futer

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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 Z_6 homology sphere. We also prove more general lower bounds under mild homological hypotheses.

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BibTeX RIS

Christopher K. Atkinson, David Futer. 2013-09-27. Small volume link orbifolds. https://doi.org/10.4310/mrl.2013.v20.n6.a1

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