Noncommutative Geometry and Physics

Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics. The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors present both the latest results and comprehensive reviews of topics in the area. The book is accessible to researchers and graduate students interested in a variety of mathematical areas related to noncommutative geometry and its interface with modern theoretical physics.Contents:Dynamics of Fuzzy Spaces (M Buric & J Madore)Induction of Representations in Deformation Quantization (H Bursztyn & S Waldmann)Construction of Lagrangian Embeddings Using Hamiltonian Actions (R Chiang)Deformation Quantization on a Hilbert Space (G Dito)Noncommutative Solitons and Integrable Systems (M Hamanaka) Witten's Deformed Laplacian and Its Classical Mechanics (A Inoue)Higher Dimensional Spherical D-Branes and Matrix Model (Y Kimura)A Short Note on Symplectic Floer Theory (K Ono)Relation on Spin Bundle Gerbes and Mayer's Dirac Operators (A Tomoda)and other papersReadership: Graduate students, academic researchers and professionals in mathematics and physics.