Mathematical aspects of conformal and topological field theories and quantum groups / [electronic resource]
AMS-IMS-SIAM Summer Research Conference on Conformal Field Theory, Topological Field Theory, and Quantum Groups, June 13-19, 1992, Mount Holyoke College ; Paul J. Sally, Jr. ... [et al.], editors.
- Providence, R.I. : American Mathematical Society, c1994.
- 1 online resource (xii, 267 p. : ill.)
- Contemporary mathematics, v. 175 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 175. .
Spine title: CFT, TFT, and quantum groups.
Includes bibliographical references.
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 $Z_p$-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-manifold / Vertex 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 / Kazuhiko Aomoto and Yoshifumi Kato -- Chongying Dong -- Chongying Dong and Geoffrey Mason -- Mosh�e Flato and Daniel Sternheimer -- C. Fronsdal and A. Galindo -- Galin Georgiev and Olivier Mathieu -- Victor Ginzburg, Nicolai Reshetikhin and �Eric Vasserot -- Yi-Zhi Huang and James Lepowsky -- Lisa C. Jeffrey and Jonathan Weitsman -- Victor Kac and Weiqiang Wang -- Toshitake Kohno -- M. A. Semenov-Tian-Shansky -- Yassen S. Stanev and Ivan T. Todorov -- http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01834 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01835 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01836 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01837 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01838 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01839 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01840 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01841 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01842 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01843 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01844 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01845 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01846
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877661 (online)
Conformal invariants--Congresses.
Quantum field theory--Congresses.
Quantum groups--Congresses.
Mathematical physics--Congresses.
QC174.52.C66 / A47 1992
512/.55
Spine title: CFT, TFT, and quantum groups.
Includes bibliographical references.
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 $Z_p$-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-manifold / Vertex 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 / Kazuhiko Aomoto and Yoshifumi Kato -- Chongying Dong -- Chongying Dong and Geoffrey Mason -- Mosh�e Flato and Daniel Sternheimer -- C. Fronsdal and A. Galindo -- Galin Georgiev and Olivier Mathieu -- Victor Ginzburg, Nicolai Reshetikhin and �Eric Vasserot -- Yi-Zhi Huang and James Lepowsky -- Lisa C. Jeffrey and Jonathan Weitsman -- Victor Kac and Weiqiang Wang -- Toshitake Kohno -- M. A. Semenov-Tian-Shansky -- Yassen S. Stanev and Ivan T. Todorov -- http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01834 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01835 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01836 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01837 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01838 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01839 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01840 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01841 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01842 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01843 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01844 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01845 http://www.ams.org/conm/175/ http://dx.doi.org/10.1090/conm/175/01846
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877661 (online)
Conformal invariants--Congresses.
Quantum field theory--Congresses.
Quantum groups--Congresses.
Mathematical physics--Congresses.
QC174.52.C66 / A47 1992
512/.55