From Differential Geometry to Non-commutative Geometry and Topology [electronic resource] / by Neculai S. Teleman.
Material type: TextPublisher: Cham : Springer International Publishing : Imprint: Springer, 2019Edition: 1st ed. 2019Description: XXII, 398 p. 12 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783030284336Subject(s): Differential geometry | Manifolds (Mathematics) | Complex manifolds | Differential Geometry | Manifolds and Cell Complexes (incl. Diff.Topology)DDC classification: 516.36 LOC classification: QA641-670Online resources: Click here to access onlineItem type | Current library | Call number | Status | Date due | Barcode | Item holds |
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e-Books | Central Library, Sikkim University | 516.36 (Browse shelf(Opens below)) | Not for loan | E-3060 |
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516.352 LIN/A Algebraic curves in crytography/ | 516.352 SEN/R Rational algebraic curves: a computer algebra approach/ | 516.352 ZAR/A Algebraic Surfaces/ | 516.36 From Differential Geometry to Non-commutative Geometry and Topology | 516.36 CEC/L lie sphere geometry: with applications to submanifolds/ | 516.36 KLI/C A Course in Differential Geometry/ | 516.36 KLI/C A Course in Differential Geometry/ |
1. Part I Spaces, bundles and characteristic classes in differential geometry -- 2. Part II Non-commutative differential geometry -- 3. Part III Index Theorems -- 4. Part IV Prospects in Index Theory. Part V -- 5. Non-commutative topology.
This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical differential geometry and non-commutative geometry. The book shows that the index formula is a topological statement, and ends with non-commutative topology.
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