From International Press

Surveys in Differential Geometry
Volume 14

Geometry of Riemann surfaces and their moduli spaces

Edited by
Lizhen Ji (University of Michigan)
Scott A. Wolpert (University of Maryland)
Shing-Tung Yau (Harvard University)

Publication details

Hardcover. 418 pages.
ISBN-13: 978-1-57146-140-7
ISBN-10: 1-57146-140-X
2000 MSC: 53-XX, 14H10, 14H15, 14H45, 32G15, 53C43, 53C56, 58D27
Published: April 2010
Publisher: International Press of Boston
List price $85. Discounts may apply.

Table of Contents

  • Divisors in the moduli spaces of curves
    Enrico Arbarello and Maurizio Cornalba
  • Stability phenomena in the topology of moduli spaces
    Ralph L. Cohen
  • Birational aspects of the geometry of Mg
    Gavril Farkas
  • The universal Whitham hierarchy and the geometry of the moduli space of pointed Riemann surfaces
    Samuel Grushevsky and Igor Krichever
  • Brill-Noether theory
    Joe Harris
  • GL+2(R)-orbit closures via topological splittings
    Pascal Hubert, Erwan Lanneau, and Martin Möller
  • Harmonic mappings and moduli spaces of Riemann surfaces
    Jürgen Jost and Shing Tung Yau
  • Algebraic structures on the topology of moduli spaces of curves and maps
    Y.-P. Lee and R. Vakil
  • Recent development on the geometry of the Teichmüller and moduli spaces of Riemann surfaces
    Kefeng Liu, Xiaofeng Sun, and Shing-Tung Yau
  • The universal properties of Teichmüller spaces
    Vladimir Markovic and Dragomir Šarić
  • Geometry of Teichmüller space with the Teichmüller metric
    Howard Masur
  • GIT constructions of moduli spaces of stable curves and maps
    Ian Morrison
  • Riemann surfaces, integrable hierarchies, and singularity theory
    Yongbin Ruan

About the series

The editors of the highly esteemed Journal of Differential Geometry (published by International Press) each year present a new volume of Surveys in Differential Geometry, a collection of original contributions upon 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.

Each invited contributor is a prominent specialist in the field of algebraic geometry, mathematical physics, or related areas. Contributors to Surveys tend to transcend classical frameworks within their field.

Once every three years, Lehigh University and Harvard University, in conjunction with the editors of the JDG, sponsor a conference whose purpose is to survey the general field of differential geometry and related subjects. Speakers at the conference are likewise selected for their prominence in a given field and for their innovative contributions to it. Hence every third volume of Surveys is a publication of those presented talks.

The Surveys in Differential Geometry series is a beneficial collection for experts and non-experts alike, and in particular, for those independent of the mainstream of activity in the field of geometry.

Recent volumes of the Surveys in Differential Geometry series

Volume 13: Geometry, analysis, and algebraic geometry
Volume 12: Geometric Flows
Volume 11: Metric and Comparison Geometry
Volume 10: Essays in Geometry in Memory of S.S. Chern
Volume 9: Eigenvalues of Laplacians and Other Geometric Operators

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