The minimal volume orientable hyperbolic 2-cusped 3-manifolds
Geometric Topology
2010-05-19 v2
Abstract
We prove that the Whitehead link complement and the (-2, 3, 8) pretzel link complement are the minimal volume orientable hyperbolic 3-manifolds with two cusps, with volume 3.66... = 4 x Catalan's constant. We use topological arguments to establish the existence of an essential surface which provides a lower bound on volume and strong constraints on the manifolds that realize that lower bound.
Cite
@article{arxiv.0804.0043,
title = {The minimal volume orientable hyperbolic 2-cusped 3-manifolds},
author = {Ian Agol},
journal= {arXiv preprint arXiv:0804.0043},
year = {2010}
}
Comments
10 pages, 5 figures, incorporated referees comments, includes hyperref links