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Mapping Class Groups and Moduli Spaces of Riemann Surfaces
Edited by: Carl-Friedrich Bödigheimer and Richard M. Hain
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Contemporary Mathematics
1993; 372 pp; softcover
Volume: 150
ISBN-10: 0-8218-5167-5
ISBN-13: 978-0-8218-5167-8
List Price: US$63
Member Price: US$50.40
Order Code: CONM/150
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The study of mapping class groups and moduli spaces of compact Riemann surfaces is currently a central topic in topology, algebraic geometry, and conformal field theory. This book contains proceedings from two workshops held in the summer of 1991, one at the University of Göttingen and the other at the University of Washington at Seattle. The papers gathered here represent diverse approaches and contain several important new results. With both research and survey articles, this book appeals to mathematicians and physicists.

Readership

Research mathematicians and physicists interested in moduli spaces of Riemann surfaces.

Table of Contents

  • D. Benardete, M. Gutierrez, and Z. Nitecki -- A combinatorial approach to reducibility of mapping classes
  • C.-F. Bödigheimer -- Interval exchange spaces and moduli spaces
  • A. Brownstein and R. Lee -- Cohomology of the group of motions of \(n\) strings in \(3\)-space
  • F. Cohen -- Mapping class groups and classical homotopy theory
  • R. Hain -- Completions of mapping class groups and the cycle \(C-C^-\)
  • J. Harer -- The rational Picard group of the moduli space of Riemann surfaces with spin structure
  • W. Harvey -- On certain families of compact Riemann surfaces
  • N. Ivanov -- On the homology stability for Teichmüller modular groups: closed surfaces and twisted coefficients
  • J. Klein -- Higher Franz-Reidemeister torsion: low dimensional applications
  • E. Looijenga -- Cohomology of \({\mathcal M}_3\) and \({\mathcal M}^1_3\)
  • H. Masur -- Logarithmic law for geodesics in moduli space
  • J. Milgram and R. Penner -- Riemann's moduli space and the symmetric groups
  • J. Morava -- Primitive Mumford classes
  • S. Morita -- The structure of the mapping class group and characteristic classes of surface bundles
  • I. Morrison -- Subvarieties of moduli spaces of curves: open problems from an algebro-geometric point of view
  • L. Saper -- \(L^2\)-cohomology of the Weil-Petersson metric
  • W. Wang -- On the moduli space of principally polarized abelian varieties
  • P. Zograf -- The Weil-Petersson volume of the moduli space of punctured spheres
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