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The asymptotic cone of Teichmüller space and thickness

The asymptotic cone of Teichmüller space and thickness

We study the Asymptotic Cone of Teichm\uller space equipped with the Weil-Petersson metric. In particular, we provide a characterization of the canonical finest pieces in the tree-graded structure of the asymptotic cone of Teichm\uller space along the same lines as a similar characterization for right angled Artin groups by Behrstock-Charney …