From Differential Geometry to Non-commutative Geometry and Topology

• Κύριος συγγραφέας: Teleman, Neculai S. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Θέματα: Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.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...

Πίνακας περιεχομένων:

• 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.