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From Differential Geometry to Non-commutative Geometry and 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 continua...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2019.
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| Edition: | 1st ed. 2019. |
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| Online Access: |
Full text (Wentworth users only) |
MARC
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| 100 | 1 | |a Teleman, Neculai S., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a From Differential Geometry to Non-commutative Geometry and Topology |h [electronic resource] / |c by Neculai S. Teleman. |
| 250 | |a 1st ed. 2019. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2019. | |
| 300 | |a XXII, 398 pages 12 illustrations : |b online resource. | ||
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| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Geometry, Differential. |0 sh 85054146 | |
| 650 | 0 | |a Manifolds (Mathematics) |0 sh 85080549 | |
| 650 | 0 | |a Complex manifolds. |0 sh 85029371 | |
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| 856 | 4 | 0 | |t 0 |u https://ezproxywit.flo.org/login?qurl=https://doi.org/10.1007/978-3-030-28433-6 |y Full text (Wentworth users only) |