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非交换微分几何及其在物理学中的应用导论(第2版)
作者:(法)马多雷 著
出版社:世界图书出版公司
出版时间:2010-04-01
ISBN:9787510005763
定价:¥45.00
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内容简介
《非交换微分几何及其在物理学中的应用导论(第2版)》主要内容包括了Differential forms I、Differential forms II、Tensor products、Metrics、Yang-Mills connections、Linear connections、Curvature等。
作者简介
暂缺《非交换微分几何及其在物理学中的应用导论(第2版)》作者简介
目录
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 algebras
4.2 Poisson structures
4.3 Topological algebras
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 equivalence
6.4 The Loday-QuiUen theorem
7 Modifications of Space-Time
7.1 Noncommutative space-time
7.2 A finite model
7.3 Fuzzy physics
8 Extensions of Space-Time
8.1 The spinning particle
8.2 Noncommutative electrodynamics
8.3 Modified Kaluza-Klein theory
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 algebras
4.2 Poisson structures
4.3 Topological algebras
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 equivalence
6.4 The Loday-QuiUen theorem
7 Modifications of Space-Time
7.1 Noncommutative space-time
7.2 A finite model
7.3 Fuzzy physics
8 Extensions of Space-Time
8.1 The spinning particle
8.2 Noncommutative electrodynamics
8.3 Modified Kaluza-Klein theory
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