From Differential Geometry to Non-commutative Geometry and Topology

• Main Author: Teleman, Neculai S. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: 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...

Table of Contents:

• 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.