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arXiv · 1909.00890

Coding Teichm\"uller flow using veering triangulations

Mark Bell·Vincent Delecroix·Vaibhav Gadre·Rodolfo Gutiérrez-Romo·Saul Schleimer
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Abstract

We develop the theory of veering triangulations on oriented surfaces adapted to moduli spaces of half-translation surfaces. We use veering triangulations to give a coding of the Teichm\"uller flow on connected components of strata of quadratic differentials. We prove that this coding, given by a countable shift, has an approximate product structure and a roof function with exponential tails. This makes it conducive to the study of the dynamics of Teichm\"uller flow.

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Mark Bell, Vincent Delecroix, Vaibhav Gadre, Rodolfo Gutiérrez-Romo, Saul Schleimer. 2019-09-02. Coding Teichm\"uller flow using veering triangulations. https://arxiv.org/abs/1909.00890

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