Coding Teichm\'uller flow using veering triangulations
| Autor: | Bell, Mark, Delecroix, Vincent, Gadre, Vaibhav, Gutiérrez-Romo, Rodolfo, Schleimer, Saul |
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| Rok vydání: | 2019 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 35 pages, 8 figures |
| Databáze: | arXiv |
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