From Differential Geometry to Non-commutative Geometry and Topology
Başlık:
From Differential Geometry to Non-commutative Geometry and Topology
Yazar:
Teleman, Neculai S. author.
ISBN:
9783030284336
Yazar:
Edisyon:
1st ed. 2019.
Fiziksel Niteleme:
XXII, 398 p. 12 illus. online resource.
İçindekiler:
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.
Özet:
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.
Konu Başlığı:
Ek Kurum Yazar:
Elektronik Erişim:
https://doi.org/10.1007/978-3-030-28433-6