Historical development of Teichmüller theory (Q1948648)

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scientific article; zbMATH DE number 6157149
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Historical development of Teichmüller theory
scientific article; zbMATH DE number 6157149

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    Historical development of Teichmüller theory (English)
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    24 April 2013
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    Teichmüller theory started out as a theory on deformations and on moduli spaces of marked Riemann surfaces. In their well-written survey, the authors sketch the origins and the early developments of Teichmüller theory (up to Kodaira-Spencer theory and Kähler structures on manifolds), and present the opinions of many mathematicians such as Ahlfors, Bers, and Weil.
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    Riemann surfaces
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    moduli problems
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    quasi-conformal mappings
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    Teichmüller spaces
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    Beltrami equation
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    periods
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    abelian differentials
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    Kodaira-Spencer theory
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    Kähler structure
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    Weil-Petersson metric
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