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arXiv · 1501.00200

The asymptotic geometry of the Teichmüller metric: Dimension and rank

Matthew Gentry Durham
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Abstract

We analyze the asymptotic cones of Teichmüller space with the Teichmüller metric, $(\mathcal{T}(S),d_T)$. We give a new proof of a theorem of Eskin-Masur-Rafi which bounds the dimension of quasiisometrically embedded flats in $(\mathcal{T}(S),d_T)$. Our approach is an application of the ideas of Behrstock and Behrstock-Minsky to the quasiisometry model we previously built for $(\mathcal{T}(S),d_T)$.

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Matthew Gentry Durham. 2014-12-31. The asymptotic geometry of the Teichmüller metric: Dimension and rank. https://arxiv.org/abs/1501.00200

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