Deformation theory and symplectic geometry : proceedings of the Ascona meeting, June 1996
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Bibliographic Information
Deformation theory and symplectic geometry : proceedings of the Ascona meeting, June 1996
（Mathematical physics studies, v. 20）
Kluwer Academic Publishers, c1997
Available at / 33 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Ascona||1996.697039216
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Includes references
Description and Table of Contents
Description
This volume contains papers presented at the meeting Deformation Theory, Symplectic Geometry and Applications, held in Ascona, June 17-21, 1996.
The contents touch upon many frontier domains of modern mathematics, mathematical physics and theoretical physics and include authoritative, state-of-the-art contributions by leading scientists. New and important developments in the fields of symplectic geometry, deformation quantization, noncommutative geometry (NCG) and Lie theory are presented. Among the subjects treated are: quantization of general Poisson manifolds; new deformations needed for the quantization of Nambu mechanics; quantization of intersection cardinalities; quantum shuffles; new types of quantum groups and applications; quantum cohomology; strong homotopy Lie algebras; finite- and infinite-dimensional Lie groups; and 2D field theories and applications of NCG to gravity coupled with the standard model.
Audience: This book will be of interest to researchers and post-graduate students of mathematical physics, global analysis, analysis on manifolds, topological groups, nonassociative rings and algebras, and Lie algebras.
Table of Contents
- Preface. Noncommutative Differential Geometry and the Structure of Space Time
- A. Connes. Shift Operator for the Discrete sl(2) Current Algebra
- L. Faddeev, A. Volkov. Nambu Mechanics, n-ary Operations and their Quantization
- M. Flato, et al. The Geometrization Principle
- J. Froehlich. Generalization and Deformations of Quantum Groups
- C. Fronsdal. Quantized Intersection Cardinalities
- M. Gerstenhaber. Deformation Quantization and Mpc Structures
- S. Gutt, J. Rawnsley. Massless XXZ Model and Degeneration of the Elliptic Algebra Aq,p(sANDl2)
- M. Jimbo, et al. Formality Conjecture
- M. Kontsevich. Quantum Cohomology of the Flag Manifold as an Algebra of Rational Functions on a Unipotent Algebraic Group
- B. Kostant. Homologies Associated with Poisson Structures
- O. Mathieu. Maximal Tori of Some Symplectomorphism Groups and Applications to Convexity
- A. Bloch, et al. On 2D Yang-Mills Theory and Invariants of Links
- M. Polyak, N. Reshetikhin. Some Applications of Quantum Shuffles
- M. Rosso. Character Formulas and Localization of Integrals
- W. Schmid. Deformation Theory and the Batalin-Vilkovisky Master Equation
- J. Stasheff. The Fukaya Type Categories for Associative Algebras
- R. Nest, B. Tsygan. Tangential Deformation Quantization and Polarized Symplectic Groupoids
- A. Weinstein. Formal GNS Construction and WKB Expansion in Deformation Quantization
- M. Bordemann, S. Waldmann. On the Deformation of Time Harmonic Flows
- J. Hoppe. Distinguished Essential Extensions of Infinite Dimensional Classical Lie Algebras
- A. Lichnerowicz. Noncommutative Contact Algebras
- H. Omori, et al. Braided Geometry and the Inductive Construction of Lie Algebras and Quantum Groups
- S. Majid. Star Products in the Triangular Case
- C. Moreno, L. Valero. Aspetti fisici della teoria delle deformazioni
- G. Dito. Scientific Programme. List of Participants.
by "Nielsen BookData"