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Mathematics > Geometric Topology

Title: Convex co-compact hyperbolic manifolds are determined by their pleating lamination

Authors: Bruno Dular, Jean-Marc Schlenker
(Submitted on 15 Mar 2024 (v1), last revised 7 May 2024 (this version, v2))
Abstract: Convex co-compact 3-dimensional hyperbolic manifolds are uniquely determined by the pleating measured lamination on the boundary of their convex core.
Comments: 13 pages, 1 figure. v2: argument expanded to include manifolds with compressible boundary. Added some references and explanations
Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)
Cite as: arXiv:2403.10090 [math.GT]
  (or arXiv:2403.10090v2 [math.GT] for this version)

Submission history

From: Jean-Marc Schlenker [view email]
[v1] Fri, 15 Mar 2024 08:05:45 GMT (40kb,D)
[v2] Tue, 7 May 2024 13:20:21 GMT (339kb,D)
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