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Schottky uniformization and the symplectic structure of the cotangent bundle of a Teichmüller space - MaRDI portal

Schottky uniformization and the symplectic structure of the cotangent bundle of a Teichmüller space (Q1580290)

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scientific article; zbMATH DE number 1505930
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Schottky uniformization and the symplectic structure of the cotangent bundle of a Teichmüller space
scientific article; zbMATH DE number 1505930

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    Schottky uniformization and the symplectic structure of the cotangent bundle of a Teichmüller space (English)
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    8 February 2001
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    In this paper the author establishes an analogue for Schottky groups of a theorem of \textit{S. Kawai} [Math. Ann. 305, No. 1, 101-182 (1996; Zbl 0848.30026)] which establishes the identity of the natural symplectic structure on the Teichmüller space of a surface and the pullback, by the Bers map, of a natural symplectic form on the smooth locus of the space of representations of the fundamental group of the surface in PSL(2,\(\mathbb{C}\)). In the case considered in the paper the author considers the space of Schottky representations. The techniques are directly based on those of Kawai.
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    Schottky groups
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    Teichmüller theory
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    Bers map
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