Square-tiled tori

DOI10.3934/dcds.2022185zbMath1517.30006arXiv1506.02826OpenAlexW4315701494MaRDI QIDQ6044918

Angel Pardo

Publication date: 25 May 2023

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02826

zbMATH Keywords

cyclic coverssquare-tiled surfacesDedekind psi function

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10)

Cites Work

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• Square-tiled cyclic covers
• Lyapunov spectrum of square-tiled cyclic covers
• Factorization of point configurations, cyclic covers, and conformal blocks
• Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards
• Prime arithmetic Teichmüller discs in \({\mathcal H}(2)\)
• Teichmüller curves in genus two: Discriminant and spin
• Extreme values of the Dedekind $\Psi$ function
• Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials

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