Details
From Differential Geometry to Non-commutative Geometry and Topology
|
139,09 € |
|
| Verlag: | Springer |
| Format: | |
| Veröffentl.: | 10.11.2019 |
| ISBN/EAN: | 9783030284336 |
| Sprache: | englisch |
Dieses eBook enthält ein Wasserzeichen.
Beschreibungen
<p>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.</p><br><p></p>
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.
<p>Neculai S. Teleman did his PhD with I. Singer at MIT in 1977, working on extending the index theorem to combinatorial manifolds. He was professor at the Universitá di Roma La Sapienza, at SUNY Stony Brook, and at Universitá Politechnica delle Marche, Italy. His interests are on global analysis of PL-manifolds, combinatorial Hodge Theory, Index Theory, Quasi conformal mappings, and Singularity Theory.</p>
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. <div><br></div>
<p>Compiles all the tools and results of index theory, so the reader obtains a good overview of the topic</p><p>Shows that the index formula is a topological statement, giving the reader a new perspective on index theory</p><p>Presents detailed steps of non-trivial computations, which enables the reader to achieve them</p>
Diese Produkte könnten Sie auch interessieren:
Fractal Geometry, Complex Dimensions and Zeta Functions
von: Michel L. Lapidus, Machiel van Frankenhuijsen
69,99 €
