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Book Cover
E-book
Author Paul J. Sally, Jr

Title Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups
Published Providence : American Mathematical Society, 1994

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Description 1 online resource (282 pages)
Series Contemporary Mathematics Ser. ; v. 175
Contemporary Mathematics Ser
Contents Intro; Contents; Preface; Connection coefficients for A-type Jackson integral and Yang-Baxter equation; Representations of the moonshine module vertex operator algebra; The construction of the moonshine module as a Zp-orbifold; Star products, quantum groups, cyclic cohomology, and pseudodifferential calculus; The universal T-matrix; Fusion rings for modular representations of Chevalley groups; Quantum groups and flag varieties; Operadic formulation of the notion of vertex operator algebra
Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a two-manifoldVertex operator superalgebras and their representations; Topological invariants for 3-manifolds using representations of mapping class groups II: Estimating tunnel number of knots; Poisson Lie groups, quantum duality principle, and the quantum double; Local 4-point functions and the Knizhnik-Zamolodchikov equation
Summary 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 develop
Notes Print version record
Subject Conformal invariants -- Congresses
Quantum field theory -- Congresses
Quantum groups -- Congresses
Mathematical physics -- Congresses
Conformal invariants.
Mathematical physics.
Quantum field theory.
Quantum groups.
Genre/Form Conference papers and proceedings.
Form Electronic book
Author Flato, Moshe
Lepowsky, James
Reshetikhin, Nicolai
Zuckerman, Gregg J
ISBN 9780821877661
0821877666