Boundaries of Teichmüller spaces and end-invariants for hyperbolic 3-manifolds

DOI10.1215/S0012-7094-01-10634-0zbMath1011.30042MaRDI QIDQ1847804

Jeffrey F. Brock

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

lower-semicontinuityThurston's boundaryquotient topologyBers boundarymeasured geodesic laminationpleated surfacesboundaries for the Teichmüller spaceconstructing partitionscontinuity in the end-invariant topologyconvergence in a Bers compactificationdecomposing laminationsfailure of Hausdorff topologyimplicit cuspslengths of laminationsmaximal cuspspinching deformationspinning maximal cuspssubsurfacessurjectivity onto measurable lamination

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)

Related Items

Compactifications of a representation variety, On the density of geometrically finite Kleinian groups., Geometric limits of cyclic subgroups of \(\mathsf{SO}_0 (1,k + 1)\) and \(\mathsf{SU}(1,k + 1)\), Convergence properties of end invariants, Convergence and divergence of Kleinian surface groups, The space of Kleinian punctured torus groups is not locally connected, Local topology in deformation spaces of hyperbolic 3-manifolds, Deformation spaces of Kleinian surface groups are not locally connected, Reduced Bers boundaries of Teichmüller spaces, Local topology in deformation spaces of hyperbolic 3-manifolds. II., The Weil-Petersson visual sphere

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