Contemporary Mathematics 1993; 372 pp; softcover Volume: 150 ISBN10: 0821851675 ISBN13: 9780821851678 List Price: US$67 Member Price: US$53.60 Order Code: CONM/150
 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 \(CC^\)
 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 FranzReidemeister 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 algebrogeometric point of view
 L. Saper  \(L^2\)cohomology of the WeilPetersson metric
 W. Wang  On the moduli space of principally polarized abelian varieties
 P. Zograf  The WeilPetersson volume of the moduli space of punctured spheres
