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Rigidity of Teichmüller
space
Alex Eskin, Howard Masur and Kasra Rafi |
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Geometry & Topology 22 (2018) 4259–4306
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Abstract |
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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. |
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Keywords
quasi-isometric rigidity, Teichmüller metric
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Mathematical Subject Classification 2010
Primary: 32G15
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References |
Publication
Received: 6 October 2017
Accepted: 23 April 2018
Published: 6 December 2018
Proposed: Benson Farb
Seconded: Tobias H Colding, Jean-Pierre Otal
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Authors |
| Alex Eskin | |
| Department of Mathematics University of Chicago Chicago, IL % 60637-1514 United States |
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| Howard Masur | |
| Department of Mathematics University of Chicago Chicago, IL % 60637-1514 United States |
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| Kasra Rafi | |
| Department of Mathematics University of Toronto Toronto, ON % M5S 2E4 Canada |
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