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Full Description
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.
Contents
Generalized Geometry, Mirror Symmetry and T-Duality (P Bouwknegt); Non(anti) commutative N=2 Supersymmetric U(N) Gauge Theory (K Ito); Noncommutative Solitons (O Lechtenfeld); Anomalies, Gerbes, and Twisted K-Theory (J Mickelsson); Introduction to Gerbe, Twisted K-Theory and Noncommutative Geometry (H Moriyoshi); Two-Dimensional Yang-Mills Theory and Instanton Counting (K Ohta); and other papers.



