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A divergent teichmüller geodesic with uniquely ergodic vertical foliation
Authors:Yitwah Cheung  Howard Masur
Affiliation:(1) Department of Mathematics, Northwestern University, 60208 Evanston, IL, USA;(2) Department of Mathematics, University of Illinois at Chicago, 60680 Chicago, IL, USA
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. This research is partially supported by NSF grant DMS0244472.
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