Contemporary Mathematics 1994; 267 pp; softcover Volume: 175 ISBN10: 0821851861 ISBN13: 9780821851869 List Price: US$62 Member Price: US$49.60 Order Code: CONM/175
 This book contains papers presented by speakers at the AMSIMSSIAM 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 threemanifolds, symplectic geometry, and tensor products. This book provides an excellent view of some of the latest developments in this growing field of research. Readership Research mathematicians. Table of Contents  K. Aomoto and Y. Kato  Connection coefficients for \(A\)type Jackson integral and YangBaxter equation
 C. Dong  Representations of the moonshine module vertex operator algebra
 C. Dong and G. Mason  The construction of the moonshine module as a \(\mathbf Z_p\)orbifold
 M. Flato and D. Sternheimer  Star products, quantum groups, cyclic cohomology, and pseudodifferential calculus
 C. Fronsdal and A. Galindo  The universal \(T\)matrix
 G. Georgiev and O. Mathieu  Fusion rings for modular representations of Chevalley groups
 V. Ginzburg, N. Reshetikhin, and E. Vasserot  Quantum groups and flag varieties
 Y.Z. Huang and J. Lepowsky  Operadic formulation of the notion of vertex operator algebra
 L. C. Jeffrey and J. Weitsman  Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a twomanifold
 V. Kac and W. Wang  Vertex operator superalgebras and their representations
 T. Kohno  Topological invariants for \(3\)manifolds using representations of mapping class groups II: Estimating tunnel number of knots
 M. A. SemenovTianShansky  Poisson Lie groups, quantum duality principle, and the quantum double
 Y. S. Stanev and I. T. Todorov  Local \(4\)point functions and the KnizhnikZamolodchikov equation
