Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3$
Geometric Topology
2017-03-14 v1
Abstract
For a hyperbolic -orbifold with underlying space the -sphere, we obtain a lower bound on its volume in the case that it contains an essential -suborbifold with underlying space the -sphere with four cone points. Our techniques involve computing the guts of the orbifold split along the -suborbifold via a careful analysis of its topology. We also characterize the orbifolds of this type that have empty guts.
Cite
@article{arxiv.1703.04160,
title = {Guts and volume for hyperbolic $3$-orbifolds with underlying space $S^3$},
author = {Christopher K. Atkinson and Jessica Mallepalle and Joseph Melby and Shawn Rafalski and Jennifer Vaccaro},
journal= {arXiv preprint arXiv:1703.04160},
year = {2017}
}
Comments
19 pages, 7 figures