**Contemporary Mathematics**

Volume: 175;
1994;
267 pp;
Softcover

MSC: Primary 08; 16; 17; 20; 33; 35; 58; 81;

Print ISBN: 978-0-8218-5186-9

Product Code: CONM/175

List Price: $66.00

Individual Member Price: $52.80

**Electronic ISBN: 978-0-8218-7766-1
Product Code: CONM/175.E**

List Price: $66.00

Individual Member Price: $52.80

# Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups

Share this page *Edited by *
*Paul J. Sally, Jr.; Moshe Flato; James Lepowsky; Nicolai Reshetikhin; Gregg J. Zuckerman*

This book contains papers presented by speakers at the AMS-IMS-SIAM Joint Summer Research Conference on Conformal Field Theory, Topological Field Theory and Quantum Groups, held at Mount Holyoke College in June 1992. One group of papers deals with one aspect of conformal field theory, namely, vertex operator algebras or superalgebras and their representations. Another group deals with various aspects of quantum groups. Other topics covered include the theory of knots in three-manifolds, symplectic geometry, and tensor products. This book provides an excellent view of some of the latest developments in this growing field of research.

#### Table of Contents

# Table of Contents

## Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups

- Contents vii8 free
- Preface ix10 free
- Connection coefficients for A-type Jackson integral and Yang-Baxter equation 114 free
- Representations of the moonshine module vertex operator algebra 2740
- The construction of the moonshine module as a Zp-orbifold 3750
- Star products, quantum groups, cyclic cohomology, and pseudodifferential calculus 5366
- The universal T-matrix 7386
- Fusion rings for modular representations of Chevalley groups 89102
- Quantum groups and flag varieties 101114
- Operadic formulation of the notion of vertex operator algebra 131144
- Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a two-manifold 149162
- Vertex operator superalgebras and their representations 161174
- Topological invariants for 3-manifolds using representations of mapping class groups II: Estimating tunnel number of knots 193206
- Poisson Lie groups, quantum duality principle, and the quantum double 219232
- Local 4-point functions and the Knizhnik-Zamolodchikov equation 249262

#### Readership

Research mathematicians.