Title An introduction to noncommutative differential geometry and its physical applications / John Madore

Edition 2nd ed Published Cambridge [England] ; New York : Cambridge University Press, 1999

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Description 1 online resource (vi, 321 pages) Series London Mathematical Society lecture note series ; 257 London Mathematical Society lecture note series ; 257. Contents 1. Introduction -- 2. Differential Geometry -- 3. Matrix Geometry -- 4. Noncommutative Geometry -- 5. Vector Bundles -- 6. Cyclic Homology -- 7. Modifications of Space-Time -- 8. Extensions of Space-Time Summary This is an introduction to non-commutative 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. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed, making this book accessible to graduate students and newcomers to this field Bibliography Includes bibliographical references (pages 297-313) and index Notes Print version record Subject Geometry, Algebraic. Noncommutative differential geometry. MATHEMATICS -- Geometry -- Algebraic. Geometry, Algebraic Noncommutative differential geometry Algebraïsche meetkunde. Differentiaalmeetkunde. Niet-commutatieve structuren. Géométrie algébrique. Géométrie différentielle non commutative. Form Electronic book ISBN 9781107362789 1107362784

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