Coding Teichmuller flow using veering triangulations

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 arXiv, (Unpublished)

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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
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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