On correspondences between once punctured tori and closed tori: Fricke groups and real lattices

DOI10.3836/tjm/1255958671zbMath0987.32009OpenAlexW2039638706MaRDI QIDQ5930104

Ryuji Abe

Publication date: 16 June 2002

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

Full work available at URL: https://doi.org/10.3836/tjm/1255958671

zbMATH Keywords

Teichmüller spaceclosed torusFricke groupFuchsian grouponce punctured torus

Mathematics Subject Classification ID

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

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Congruence obstructions to pseudomodularity of Fricke groups. ⋮ Symmetry of topographs of Markoff forms ⋮ Abelianization of Fricke groups and rhombic lattices. ⋮ Two-color Markoff graph and minimal forms ⋮ Geometry and Markoff’s spectrum for ℚ(𝕚), I

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