Small volume link orbifolds
Geometric Topology
2014-06-18 v2
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.
Keywords
Cite
@article{arxiv.1211.5057,
title = {Small volume link orbifolds},
author = {Christopher K. Atkinson and David Futer},
journal= {arXiv preprint arXiv:1211.5057},
year = {2014}
}
Comments
19 pages, 3 figures. Revised version, to appear in Mathematical Research Letters