Thick-skinned 3-manifolds
arXiv:1305.2412
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.
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