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arXiv · 1508.02801

Horocycle flow orbits and lattice surface characterizations

Jon Chaika·Kathryn Lindsey
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Abstract

The orbit closure of any translation surface under the horocycle flow in almost any direction equals its $SL_2(\mathbb{R})$ orbit closure. This result gives rise to new characterizations of lattice surfaces in terms of the hororcycle flow.

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Jon Chaika, Kathryn Lindsey. 2015-08-12. Horocycle flow orbits and lattice surface characterizations. https://doi.org/10.1017/etds.2017.82

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