TY  - BOOK
AU  - Teleman,Neculai S.
TI  - From Differential Geometry to Non-commutative Geometry and Topology
SN  - 9783030284336
AV  - QA641-670 
U1  - 516.36 23
PY  - 2019///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Differential geometry
KW  - Manifolds (Mathematics)
KW  - Complex manifolds
KW  - Differential Geometry
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-030-28433-6
ER  -