Bers embedding of the Teichmüller space of a once-punctured torus

DOI10.1090/S1088-4173-04-00108-0zbMath1051.30039OpenAlexW1618845574MaRDI QIDQ4827385

Toshiyuki Sugawa, Yohei Komori

Publication date: 16 November 2004

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-04-00108-0

zbMATH Keywords

Teichmüller spacemonodromyPoincaré densityBers embeddingfree homotopy classesHeun's differential equationsimple closed curvesSchwarzian differential equationaccessory parameterpleating rayBers slicecommensurability relationsfour-time punctured sphereMcMullen's bending coordinatesonce-punctured ``long rectangular torusonce-punctured square torus

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Teichmüller theory for Riemann surfaces (30F60) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Differentials on Riemann surfaces (30F30)

Related Items

The automorphism groups of the profinite braid groups ⋮ Pluripotential theory on Teichmüller space. II: Poisson integral formula ⋮ The limiting shape of one-dimensional Teichmüller spaces ⋮ On dynamics of \(\mathrm{Out}(F_n)\) on \(\mathrm{PSL}_2(\mathbb C)\) characters ⋮ Exotic projective structures and quasi-Fuchsian space. II ⋮ The Schwarzian derivative and measured laminations on Riemann surfaces ⋮ Complex geometry of Teichmüller domains

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