A divergent Teichmuller geodesic with uniquely ergodic vertical foliation

Details A divergent Teichmuller geodesic with uniquely ergodic vertical foliation A divergent Teichmuller geodesic with uniquely ergodic vertical foliation

2005-01-19

arxiv.org/abs/math/0501296v1

Israel J. Math. 152 (2006), 1--15.

Mathematics

Dynamical Systems

16 pages, 3 figures

Scientific paper

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

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