Margulis numbers for Haken manifolds
Geometric Topology
2011-06-28 v3
Abstract
For every closed hyperbolic Haken 3-manifold and, more generally, for any hyperbolic 3-manifold M which is homeomorphic to the interior of a Haken manifold, the number 0.286 is a Margulis number. If M has non-zero first Betti number, or if M is closed and contains a semi-fiber, then 0.292 is a Margulis number for M.
Cite
@article{arxiv.1006.3467,
title = {Margulis numbers for Haken manifolds},
author = {Marc Culler and Peter B. Shalen},
journal= {arXiv preprint arXiv:1006.3467},
year = {2011}
}
Comments
25 pages. Some statements were clarified some typos were corrected and some of the propositions were generalized