Surveys In Differential Geometry: Geometry Of Riemann Surfaces And Their Moduli Spaces Geometry Of Riemann Surfaces And Their Moduli Spaces Riemann Surfaces Geometry Of Riemann Surfaces

Edited By Lizhen Ji, Scott A. Wolpert, And Shing-tung Yau. Includes Bibliographical References. 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 The editors of the highly esteemed Journal of Differential Geometry each year present a new volume of Surveys in Differential Geometry, a collection of original contributions on a specially chosen topic pertaining to differential geometry and related topics. The series presents an overview of recent trends, while making predictions and suggestions for future research.