Small volume link orbifolds

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.

19 pages, 3 figures. Revised version, to appear in Mathematical Research Letters

References in corpus (3)

• The minimal volume orientable hyperbolic 2-cusped 3-manifolds
• Minimum-volume hyperbolic 3-manifolds
• On volumes of hyperbolic orbifolds

Cited by in corpus (2)

• A survey of hyperbolic knot theory
• The lowest volume 3-orbifolds with high torsion