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From Differential Geometry to Non-commutative Geometry and Topology

From Differential Geometry to Non-commutative Geometry and Topology
Catalogue Information
Field name Details
Dewey Class 516.36
Title From Differential Geometry to Non-commutative Geometry and Topology ([EBook] /) / by Neculai S. Teleman.
Author Teleman, Neculai S.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2019.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2019.
Physical Details XXII, 398 p. 12 illus. : online resource.
ISBN 9783030284336
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-28433-6
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