On the Maskit coordinates of Teichmüller spaces and modular transformations

DOI10.2996/kmj/1138039108zbMath0698.32013OpenAlexW1986674072MaRDI QIDQ912251

Harumi Tanigawa, Hiroshige Shiga

Publication date: 1989

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039108

zbMATH Keywords

modular transformationsinvariant Teichmüller discMaskit coordinates

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (7)

Monodromies of splitting families for degenerations of Riemann surfaces ⋮ Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces ⋮ A characterization of biholomorphic automorphisms of Teichmüller space ⋮ Fibrations sur le cercle et surfaces complexes. (Fibrations over the circle and complex surfaces) ⋮ Monodromies of hyperelliptic families of genus three curves ⋮ Degenerating families with finite monodromy groups ⋮ Classification of degenerations of curves of genus three via Matsumoto-Montesinos' theorem.

Cites Work

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• An extremal problem for quasiconformal mappings and a theorem by Thurston
• On boundaries of Teichmüller spaces and on Kleinian groups. I
• On boundaries of Teichmüller spaces and on Kleinian groups. II
• Canonical mappings between Teichmüller spaces
• Moduli of marked Riemann surfaces
• A foliation of Teichmüller space by twist invariant disks.

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