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Algebraic convergence of function groups

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Commentarii Mathematici Helvetici

Abstract.

We give a sufficient condition for a sequence of convex cocompact hyperbolic structures on a fixed compression body to have an algebraically convergent subsequence. This extends a result of Otal. Further if the manifold is a handlebody we show that certain laminations play a similar role in deformation space as binding curves in Teichmüller theory.

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Authors and Affiliations

  1. Universität Bonn, Mathematisches Institut, Beringstr. 1, D-53115 Bonn, Germany,¶ e-mail: Gero.Kleineidam@math.uni-bonn.de, , , , , , DE

    G. Kleineidam

  2. Universität Bonn, Mathematisches Institut, Beringstr. 1, D-53115 Bonn, Germany,¶ e-mail: souto@math.uni-bonn.de, , , , , , DE

    J. Souto

Authors
  1. G. Kleineidam
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  2. J. Souto
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Received: November 30, 2000

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Kleineidam, G., Souto, J. Algebraic convergence of function groups. Comment. Math. Helv. 77, 244–269 (2002). https://doi.org/10.1007/s00014-002-8339-x

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  • DOI: https://doi.org/10.1007/s00014-002-8339-x

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