Rigidity of Teichm\"uller space
classification
🧮 math.GT
keywords
teichmullerspaceboundeddistanceequippedeveryisometry
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We prove that the every quasi-isometry of Teichm\"uller space equipped with the Teichm\"uller metric is a bounded distance from an isometry of Teichm\"uller space. That is, Teichm\"uller space is quasi-isometrically rigid.
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