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From Differential Geometry to Non-co...
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Teleman, Neculai S.
From Differential Geometry to Non-commutative Geometry and Topology
Record Type:
Language materials, printed : Monograph/item
Title/Author:
From Differential Geometry to Non-commutative Geometry and Topology/ by Neculai S. Teleman.
Author:
Teleman, Neculai S.
Description:
XXII, 398 p. 12 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Differential geometry. -
Online resource:
https://doi.org/10.1007/978-3-030-28433-6
ISBN:
9783030284336
From Differential Geometry to Non-commutative Geometry and Topology
Teleman, Neculai S.
From Differential Geometry to Non-commutative Geometry and Topology
[electronic resource] /by Neculai S. Teleman. - 1st ed. 2019. - XXII, 398 p. 12 illus.online resource.
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.
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.
ISBN: 9783030284336
Standard No.: 10.1007/978-3-030-28433-6doiSubjects--Topical Terms:
882213
Differential geometry.
LC Class. No.: QA641-670
Dewey Class. No.: 516.36
From Differential Geometry to Non-commutative Geometry and Topology
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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.
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