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A divergent teichmüller geodesic with uniquely ergodic vertical foliation

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Abstract

We construct an example of a quadratic differential whose vertical foliation is uniquely ergodic and such that the Teichmüller geodesic determined by the quadratic differential diverges in the moduli space of Riemann surfaces.

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Authors and Affiliations

  1. Department of Mathematics, Northwestern University, 60208, Evanston, IL, USA

    Yitwah Cheung

  2. Department of Mathematics, University of Illinois at Chicago, 60680, Chicago, IL, USA

    Howard Masur

Authors
  1. Yitwah Cheung
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  2. Howard Masur
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Corresponding author

Correspondence to Yitwah Cheung.

Additional information

This research is partially supported by NSF grant DMS0244472.

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Cheung, Y., Masur, H. A divergent teichmüller geodesic with uniquely ergodic vertical foliation. Isr. J. Math. 152, 1–15 (2006). https://doi.org/10.1007/BF02771972

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  • DOI: https://doi.org/10.1007/BF02771972

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