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Stability of quasi-geodesics in Teichmüller space

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Abstract

Let S be a surface S of genus g ≥ 0 with m ≥ 0 punctures and 3g − 3 + m ≥ 2. We show that a Teichmüller quasi-geodesic in the thick part of Teichmüller space for S is contained in a bounded neighborhood of a geodesic if and only if it induces a quasi-geodesic in the curve graph.

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Authors and Affiliations

  1. Mathematisches Institut Der Universität Bonn, Endenicher Allee 60, 53115, Bonn, Germany

    Ursula Hamenstädt

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  1. Ursula Hamenstädt
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Correspondence to Ursula Hamenstädt.

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Research partially supported by DFG SFB 611.

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Hamenstädt, U. Stability of quasi-geodesics in Teichmüller space. Geom Dedicata 146, 101–116 (2010). https://doi.org/10.1007/s10711-009-9428-4

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  • DOI: https://doi.org/10.1007/s10711-009-9428-4

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