, Volume 144, Issue 1, pp 191-210
Date: 08 Jul 2009

Criteria for the divergence of pairs of Teichmüller geodesics

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Abstract

We study the asymptotic geometry of Teichmüller geodesic rays. We show that, when the transverse measures to the vertical foliations of the quadratic differentials determining two different rays are topologically equivalent, but are not absolutely continuous with respect to each other, the rays diverge in Teichmüller space.

The second author is supported in part by the NSF.