Rigidity of Teichmüller space

Eskin, Alex¹ ; Masur, Howard¹ ; Rafi, Kasra²

¹ Department of Mathematics, University of Chicago, Chicago, IL, % 60637-1514, United States
² Department of Mathematics, University of Toronto, Toronto, ON, % M5S 2E4, Canada

Geometry & topology, Tome 22 (2018) no. 7, pp. 4259-4306.

Résumé

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.

Détail

DOI : 10.2140/gt.2018.22.4259

Classification : 32G15
Keywords: quasi-isometric rigidity, Teichmüller metric

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