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9789812704696

Noncommutative Geometry and Physics 2005: Proceedings of the International Sendai-Beijing Joint Workshop

by ; ; ; ;
  • ISBN13:

    9789812704696

  • ISBN10:

    9812704698

  • Format: Hardcover
  • Copyright: 2007-08-31
  • Publisher: World Scientific Pub Co Inc
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Summary

Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint. It is also providing new tools for the investigation of quantum space-time in physics. Recent developments in string theory have supported the idea of quantum spaces, and have strongly stimulated the research in this field. This self-contained volume contains survey lectures and research articles which address these issues and related topics. The book is accessible to both researchers and graduate students beginning to study this subject.

Table of Contents

Prefacep. V
Deformations and Noncommutativityp. 1
Expressions of Algebra Elements and Transcendental Noncommutative Calculusp. 3
Quasi-Hamiltonian Quotients as Disjoint Unions of Symplectic Manifoldsp. 31
Representations of Gauge Transformation Groups of Higher Abelian Gerbesp. 55
Algebroids Associated with Pre-Poisson Structuresp. 71
Examples of Groupoidp. 97
The Cohomology of Transitive Lie Algebroidsp. 109
Differential Equations and Schwarzian Derivativesp. 129
Deformation of Batalin-Vilkovsky Structurep. 151
Deformed Field Theory and Solutionsp. 173
Noncommutative Solitonsp. 175
Non-anti-commutative Deformation of Complex Geometryp. 201
Seiberg-Witten Monopole and Young Diagramsp. 219
Instanton Counting, Two Dimensional Yang-Mills Theory and Topological Stringsp. 239
Instantons in Non(anti)commutative Gauge Theory via Deformed ADHM Constructionp. 253
Noncommuative Deformation and Drinfel'd Twisted Symmetryp. 261
Affine Lie Superalgebra gl([Characters not reproducible]) [superscript (2) subscript k] and Twisted Conformal Field Theoryp. 273
A Solution of Yang-Mills Equation on BdS Spacetimep. 289
Solitonic Information Transmission in General Relativityp. 297
Difference Discrete Geometry on Latticep. 301
Table of Contents provided by Ingram. All Rights Reserved.

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