**Contemporary Mathematics**

Volume: 150;
1993;
372 pp;
Softcover

MSC: Primary 14; 30;
Secondary 20; 55

Print ISBN: 978-0-8218-5167-8

Product Code: CONM/150

List Price: $67.00

Individual Member Price: $53.60

**Electronic ISBN: 978-0-8218-7741-8
Product Code: CONM/150.E**

List Price: $67.00

Individual Member Price: $53.60

# Mapping Class Groups and Moduli Spaces of Riemann Surfaces

Share this page *Edited by *
*Carl-Friedrich Bödigheimer; Richard M. Hain*

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

## Mapping Class Groups and Moduli Spaces of Riemann Surfaces

- Contents v6 free
- Preface vii8 free
- Introduction ix10 free
- Participants xiii14 free
- List of Tables xix20 free
- A combinatorial approach to reducibility of mapping classes 122 free
- Interval exchange spaces and moduli spaces 3354
- Cohomology of the group of motions of n strings in 3-space 5172
- Mapping class groups and classical homotopy theory 6384
- Completions of mapping class groups and the cycle C – C– 7596
- The rational Picard group of the moduli space of Riemann surfaces with spin structure 107128
- On certain families of compact Riemann surfaces 137158
- On the homology stability for Teichmüller modular groups: closed surfaces and twisted coefficients 149170
- Higher Franz-Reidemeister torsion: low dimensional applications 195216
- Cohomology of M3 and M13 205226
- Logarithmic law for geodesics in moduli space 229250
- Riemann's moduli space and the symmetric groups 247268
- Primitive Mumford classes 291312
- The structure of the mapping class group and characteristic classes of surface bundles 303324
- Subvarieties of moduli spaces of curves: open problems from an algebro-geometric point of view 317338
- L2-cohomology of the Weil-Petersson metric 345366
- On the moduli space of principally polarized abelian varieties 361382
- The Weil-Petersson volume of the moduli space of punctured spheres 367388