▶▶ Download An Introduction to Noncommutative Differential Geometry and its Physical Applications (London Mathem Books
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Author : J. Madore
Date : 1999-08-13
Page : 386
Rating : 4.5
Reviews : 2
Category : Book
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An Introduction to Noncommutative Differential Geometry ~ An introduction to some of the more elementary aspects of noncommutative geometry with special emphasis on those cases where the structure algebra which defines the geometry is an algebra of matrices over the complex numbers The text also includes applications to elementary particle physics
An Introduction to Noncommutative Differential Geometry ~ 1 Introduction 1 2 Differential Geometry 6 21 Differential manifolds 6 22 Metrics and connections 19 23 Cohomology 33 3 Matrix Geometry 39 31 Differential forms I 39 32 Differential forms II 48 33 Tensor products 53 34 Metrics 56 35 Connections 61 36 Cohomology 66 4 Noncommutative Geometry 68 41 General algebras 69 42 Quantum groups 83
An Introduction to Noncommutative Differential Geometry ~ Nonspecialists may I think be forgiven for feeling confused by the title of J Madores An Introduction to Noncommutative Differential Geometry and its Physical s not too easy to see in what sense the differential geometry we know and love is commutative and even harder to imagine what a noncommutative geometry might look like
An Introduction to Noncommutative Differential Geometry ~ 1 Introduction 1 2 Differential Geometry 7 21 Differential manifolds 7 22 Metrics and connections 22 23 Cohomology 36 3 Matrix Geometry 43 31 Differential forms I 44 32 Differential forms II 61 33 Tensor products • • • • 70 34 Metrics 73 35 YangMills connections 81 36 Linear connections 87 37 Curvature 98 4 Noncommutative Geometry 106
An introduction to noncommutative differential geometry ~ Get this from a library An introduction to noncommutative differential geometry and its physical applications J Madore This is an introduction to noncommutative geometry with special emphasis on those cases where the structure algebra which defines the geometry is an algebra of matrices over the complex numbers
An Introduction to Noncommutative Differential Geometry ~ This is an introduction to noncommutative geometry with special emphasis on those cases where the structure algebra which defines the geometry is an algebra of matrices over the complex numbers Applications to elementary particle physics are also discussed
An introduction to noncommutative differential geometry ~ An introduction to noncommutative differential geometry and its physical applications By J Madore Abstract A thoroughly revised introduction to noncommutative geometry Topics Mathematical Physics and Mathematics
An Introduction to Noncommutative Geometry SpringerLink ~ A review is made of some recent results in noncommutative geometry including its use as a regularization procedure Efforts to add a gravitational field to noncommutative models of spacetime are also reviewed Special emphasis is placed on the case which could be considered as the noncommutative analogue of a parallelizable spacetime Keywords
An Introduction to Noncommutative Differential Geometry ~ An Introduction to Noncommutative Differential Geometry and Its Physical Applications的话题 · · · · · · 全部 条 什么是话题 无论是一部作品、一个人，还是一件事，都往往可以衍生出许多不同的话题。
An Introduction to Noncommutative Geometry ~ and its interest for theoretical physicists is now indisputable Many approaches can be taken to introducing noncommutative geometry In these lectures the focus is on the geometry of Riemannian spin manifolds and their noncommutative cousins which are ‘spectral triples’ determined by a suitable generalization of the Dirac operator
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