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Geometry of Riemann surfaces and their moduli spaces

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Author(s): Lizhen Ji; Scott A Wolpert; Shing-Tung Yau
Series: Surveys in differential geometry XIV
Publisher: International Press
Year: 2009

Language: English
Commentary: Missing front and end matter
Pages: 408
Tags: Riemann surfaces, Moduli theory, Algebraic Surfaces

Divisors in the moduli spaces of curves

Stability phenomena in the topology of moduli spaces

Birational aspects of the geometry of Mg

The universal Whitham hierarchy and the geometry of the moduli space of
pointed Riemann surfaces

Brill-Noether theory

GL plus 2R-orbit closures via topological splittings

Harmonic mappings and moduli spaces of Riemann surfaces

Algebraic structures on the topology of moduli spaces of curves and
maps

Recent development on the geometry of the Teichmueller and moduli
spaces of Riemann surfaces

The universal properties of Teichmueller spaces

Geometry of Teichmueller space with the Teichmueller metric

GIT constructions of moduli spaces of stable curves and maps

Riemann surfaces, integrable hierarchies, and singularity theory