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Quasiconformal Embeddings of Y-Pieces

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Abstract

In this paper we construct quasiconformal embeddings from Y-pieces that contain a short boundary geodesic into degenerate ones. These results are used in a companion paper to study the Jacobian tori of Riemann surfaces that contain small simple closed geodesics.

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Authors and Affiliations

  1. Department of Mathematics, École Polytechnique Fédérale de Lausanne, Station 8, 1015 , Lausanne, Switzerland

    Peter Buser

  2. Department of Mathematics, Central Connecticut State University, 1615 Stanley Street, New Britain, CT, 06050, USA

    Eran Makover

  3. Department of Mathematics, Université Montpellier 2, Eugène Bataillon, 34095 , Montpellier cedex 5, France

    Björn Mützel & Robert Silhol

Authors
  1. Peter Buser
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  2. Eran Makover
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  3. Björn Mützel
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  4. Robert Silhol
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Corresponding author

Correspondence to Peter Buser.

Additional information

Communicated by Matti Vuorinen.

While working on this article, the third author was supported by the Alexander von Humboldt foundation.

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Buser, P., Makover, E., Mützel, B. et al. Quasiconformal Embeddings of Y-Pieces. Comput. Methods Funct. Theory 14, 431–452 (2014). https://doi.org/10.1007/s40315-014-0062-2

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  • DOI: https://doi.org/10.1007/s40315-014-0062-2

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