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 language | English (US) |
|---|---|
| Pages (from-to) | 995-1016 |
| Number of pages | 22 |
| Journal | Mathematical Research Letters |
| Volume | 20 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2013 |