Thick-skinned 3-manifolds
Geometric Topology
2014-08-29 v2 Differential Geometry
Abstract
We show that if the totally geodesic boundary of a compact hyperbolic 3-manifold M has a large collar of depth d, then the diameter of the skinning map of M is no more than A exp(-d) for some A depending only on the genus and injectivity radius of the boundary of M.
Keywords
Cite
@article{arxiv.1305.2412,
title = {Thick-skinned 3-manifolds},
author = {Richard P. Kent and Yair N. Minsky},
journal= {arXiv preprint arXiv:1305.2412},
year = {2014}
}
Comments
v2. Referee's comments incorporated. Estimate of main theorem improved. General gluing theorem added. To appear in GAFA. 20 pages, 5 figures. v1. 17 pages, 4 figures