Stability of quasi-geodesics in Teichmüller space

Author： Hamenstädt Ursula  

Publisher： Springer Publishing Company

ISSN： 0046-5755

Source： Geometriae Dedicata, Vol.146, Iss.1, 2010-06, pp. : 101-116

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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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