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Noded Teichmüller spaces

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Abstract

LetG be a finitely generated Kleinian group and let Δ be an invariant collection of components in its region of discontinuity. The Teichmüller spaceT(Δ,G) supported in Δ is the space of equivalence classes of quasiconformal homeomorphisms with complex dilatation invariant underG and supported in Δ. In this paper we propose a partial closure ofT(Δ,G) by considering certain deformations of the above hemeomorphisms. Such a partial closure is denoted byNT(Δ,G) and called thenoded Teichmüller space ofG supported in Δ. Some concrete examples are discussed.

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Authors and Affiliations

  1. Departamento de Matemática, UTFSM Casilla, 110-V, Valparaiso, Chile

    Rubén A. Hidalgo

  2. Department of Mathematics, University of Bergen, Johannes Brunsgate 12, 5008, Bergen, Norway

    Alexander Vasil'ev

Authors
  1. Rubén A. Hidalgo
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  2. Alexander Vasil'ev
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Additional information

Partially supported by Projects Fondecyt 1030252, 1030373, 1040333, Projects UTFSM 12.05.21, 12.05.23 and by grant of the University of Bergen.

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Hidalgo, R.A., Vasil'ev, A. Noded Teichmüller spaces. J. Anal. Math. 99, 89–107 (2006). https://doi.org/10.1007/BF02789443

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  • DOI: https://doi.org/10.1007/BF02789443

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