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 online | Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
e-Books
|
Central Library, Sikkim University | 516.36 (Browse shelf(Opens below)) | Not for loan | E-3060 |
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.
There are no comments on this title.