2013/05/10 by Richard P. Kent, Richard P. Kent IV, Yair N. Minsky +2
Computer Science · Mathematics · #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #math.GT
paper · pdf · doi:10.48550/arxiv.1305.2412
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
openalex publication_date 2013/05/10 · arxiv created 2014/08/28 · arxiv updated 2014/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.