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Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups
 
Edited by: Paul J. Sally, Jr. University of Chicago, Chicago, IL
James Lepowsky Rutgers University, New Brunswick, NJ
Nicolai Reshetikhin University of California, Berkeley, Berkeley, CA
Gregg J. Zuckerman Yale University, New Haven, CT
Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups
Softcover ISBN:  978-0-8218-5186-9
Product Code:  CONM/175
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7766-1
Product Code:  CONM/175.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5186-9
eBook: ISBN:  978-0-8218-7766-1
Product Code:  CONM/175.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups
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Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups
Edited by: Paul J. Sally, Jr. University of Chicago, Chicago, IL
James Lepowsky Rutgers University, New Brunswick, NJ
Nicolai Reshetikhin University of California, Berkeley, Berkeley, CA
Gregg J. Zuckerman Yale University, New Haven, CT
Softcover ISBN:  978-0-8218-5186-9
Product Code:  CONM/175
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7766-1
Product Code:  CONM/175.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5186-9
eBook ISBN:  978-0-8218-7766-1
Product Code:  CONM/175.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1751994; 267 pp
    MSC: Primary 08; 16; 17; 20; 33; 35; 58; 81;

    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.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Articles
    • Kazuhiko Aomoto and Yoshifumi Kato — Connection coefficients for $A$-type Jackson integral and Yang-Baxter equation [ MR 1302009 ]
    • Chongying Dong — Representations of the moonshine module vertex operator algebra [ MR 1302010 ]
    • Chongying Dong and Geoffrey Mason — The construction of the moonshine module as a $Z_p$-orbifold [ MR 1302011 ]
    • Moshé Flato and Daniel Sternheimer — Star products, quantum groups, cyclic cohomology and pseudodifferential calculus [ MR 1302012 ]
    • C. Fronsdal and A. Galindo — The universal $T$-matrix [ MR 1302013 ]
    • Galin Georgiev and Olivier Mathieu — Fusion rings for modular representations of Chevalley groups [ MR 1302014 ]
    • Victor Ginzburg, Nicolai Reshetikhin and Éric Vasserot — Quantum groups and flag varieties [ MR 1302015 ]
    • Yi-Zhi Huang and James Lepowsky — Operadic formulation of the notion of vertex operator algebra [ MR 1302016 ]
    • Lisa C. Jeffrey and Jonathan Weitsman — Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a two-manifold [ MR 1302017 ]
    • Victor Kac and Weiqiang Wang — Vertex operator superalgebras and their representations [ MR 1302018 ]
    • Toshitake Kohno — Topological invariants for $3$-manifolds using representations of mapping class groups. II. Estimating tunnel number of knots [ MR 1302019 ]
    • M. A. Semenov-Tian-Shansky — Poisson Lie groups, quantum duality principle, and the quantum double [ MR 1302020 ]
    • Yassen S. Stanev and Ivan T. Todorov — Local $4$-point functions and the Knizhnik-Zamolodchikov equation [ MR 1302021 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1751994; 267 pp
MSC: Primary 08; 16; 17; 20; 33; 35; 58; 81;

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.

Readership

Research mathematicians.

  • Articles
  • Kazuhiko Aomoto and Yoshifumi Kato — Connection coefficients for $A$-type Jackson integral and Yang-Baxter equation [ MR 1302009 ]
  • Chongying Dong — Representations of the moonshine module vertex operator algebra [ MR 1302010 ]
  • Chongying Dong and Geoffrey Mason — The construction of the moonshine module as a $Z_p$-orbifold [ MR 1302011 ]
  • Moshé Flato and Daniel Sternheimer — Star products, quantum groups, cyclic cohomology and pseudodifferential calculus [ MR 1302012 ]
  • C. Fronsdal and A. Galindo — The universal $T$-matrix [ MR 1302013 ]
  • Galin Georgiev and Olivier Mathieu — Fusion rings for modular representations of Chevalley groups [ MR 1302014 ]
  • Victor Ginzburg, Nicolai Reshetikhin and Éric Vasserot — Quantum groups and flag varieties [ MR 1302015 ]
  • Yi-Zhi Huang and James Lepowsky — Operadic formulation of the notion of vertex operator algebra [ MR 1302016 ]
  • Lisa C. Jeffrey and Jonathan Weitsman — Torus actions, moment maps, and the symplectic geometry of the moduli space of flat connections on a two-manifold [ MR 1302017 ]
  • Victor Kac and Weiqiang Wang — Vertex operator superalgebras and their representations [ MR 1302018 ]
  • Toshitake Kohno — Topological invariants for $3$-manifolds using representations of mapping class groups. II. Estimating tunnel number of knots [ MR 1302019 ]
  • M. A. Semenov-Tian-Shansky — Poisson Lie groups, quantum duality principle, and the quantum double [ MR 1302020 ]
  • Yassen S. Stanev and Ivan T. Todorov — Local $4$-point functions and the Knizhnik-Zamolodchikov equation [ MR 1302021 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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