The Asymptotic Geometry of the Teichmüller Metric: Dimension and Rank
نویسنده
چکیده
We analyze the asymptotic cones of Teichmüller space with the Teichmüller metric, pT pSq, dT q. We give a new proof of a theorem of Eskin-Masur-Rafi [EMR13] which bounds the dimension of quasiisometrically embedded flats in pT pSq, dT q. Our approach is an application of the ideas of Behrstock [Beh06] and Behrstock-Minsky [BM08] to the quasiisometry model we built for pT pSq, dT q in [Dur13].
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