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Type: BOOK - Published: 2011-08-18 - Publisher: Elsevier

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The moduli problem is to describe the structure of the spaceof isomorphism classes of Riemann surfaces of a giventopological type. This space is known as the mo
Moduli Spaces of Riemann Surfaces
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Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This b
Teichmüller Theory in Riemannian Geometry
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These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of ou
Geometry and Spectra of Compact Riemann Surfaces
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This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature –1 and their length and eigenvalue spectra. It focus
Families of Riemann Surfaces and Weil-Petersson Geometry
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Provides a generally self-contained course for graduate students and postgraduates on deformations of hyperbolic surfaces and the geometry of the Weil-Petersson