On periodic Teichmüller disks of modular transformations

DOI10.1007/s11856-014-1090-3zbMath1301.32010OpenAlexW2044490520MaRDI QIDQ466145

Yan Huang, Sheng Jian Wu

Publication date: 24 October 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-014-1090-3

zbMATH Keywords

parabolic transformationsTeichmüller disk

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

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• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• Affine mappings of translation surfaces: Geometry and arithmetic
• Prime arithmetic Teichmüller discs in \({\mathcal H}(2)\)
• On the geometry and dynamics of diffeomorphisms of surfaces
• Planar structures and billiards in rational polygons: the Veech alternative
• Billiards and Teichmüller curves on Hilbert modular surfaces

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