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Stars at infinity in Teichmüller space

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Abstract

We investigate a metric structure on the Thurston boundary of  Teichmüller space. To do this, we develop tools in sup metrics and apply Minsky’s theorem.

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Acknowledgements

Thanks to Joseph Maher for collaborating on an earlier incarnation of this project. Thanks to Sunrose Shrestha, Thomas Weighill, Chris Leininger, Howie Masur, Ruth Charney, and Kasra Rafi for their ears and insights, and thanks to Anders Karlsson for suggesting the problem and for many interesting and useful conversations. We are grateful for the helpful comments of the anonymous referee.

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  1. Tufts University, Medford, MA, USA

    Moon Duchin & Nate Fisher

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  1. Moon Duchin
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  2. Nate Fisher
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Correspondence to Nate Fisher.

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Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

MD is partially supported by NSF Grant DMS-2005512.

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Duchin, M., Fisher, N. Stars at infinity in Teichmüller space. Geom Dedicata 213, 531–545 (2021). https://doi.org/10.1007/s10711-021-00596-0

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  • DOI: https://doi.org/10.1007/s10711-021-00596-0

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