Rigidity of Teichmüller space

Alex Eskin; Howard Masur; Kasra Rafi

doi:10.2140/gt.2018.22.4259

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Home > Journals > Geom. Topol. > Volume 22 > Issue 7 > Article

2018 Rigidity of Teichmüller space

Alex Eskin, Howard Masur, Kasra Rafi

Geom. Topol. 22(7): 4259-4306 (2018). DOI: 10.2140/gt.2018.22.4259

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Abstract

We prove that every quasi-isometry of Teichmüller space equipped with the Teichmüller metric is a bounded distance from an isometry of Teichmüller space. That is, Teichmüller space is quasi-isometrically rigid.