Noncommutative differential geometry and its applications in physics Introduction - 2nd Edition

Paperback. Pub Date: 2010 Pages: 371 Language: English in Publisher: World Book Publishing non-commutative differential geometry and its applications in physics Introduction (2nd edition) The main contents include Differential forms I Differential forms II. Tensor products. Metrics. Yang-Mills connections. Linear connections. Curvature. Contents: 1 Introduction 2 Differential Geometry 2.1 Diiferential manifolds 2.2 Metrics and connections 2.3 Cohomology 3 Matrix Geometry 3.1 Differential forms I 3.2 Differential forms II 3.3 Tensor products 3.4 Metrics 3.5 Yang-Mills connections 3.6 Linear connections 3.7 Curvature 4 Noncommutative Geometry 4.1 General algeas 4.2 Poisson structures 4.3 Topological algeas 4.4 Quantum groups 5 Vector Bundles 5.1 K-theory 5.2 A matrix analogue 5.3 Predholm modules 6 Cyclic Homology 6.1 The universal calculus 6.2 Cyclic homology 6.3 Morita equiv...