Bell, M., Delecroix, V., Gadre, V. , Gutierrez-Romo, R. and Schleimer, S. (2019) Coding Teichmuller flow using veering triangulations. arXiv, (Unpublished)
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Publisher's URL: https://arxiv.org/abs/1909.00890
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 Teichmüller 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 Teichmüller flow.
Item Type: | Articles |
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Status: | Unpublished |
Refereed: | No |
Glasgow Author(s) Enlighten ID: | Gadre, Dr Vaibhav |
Authors: | Bell, M., Delecroix, V., Gadre, V., Gutierrez-Romo, R., and Schleimer, S. |
Subjects: | Q Science > QA Mathematics |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | arXiv |
Copyright Holders: | This work is in the public domain. |
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