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From Differential Geometry to Non-co...

Teleman, Neculai S.

From Differential Geometry to Non-commutative Geometry and Topology

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	From Differential Geometry to Non-commutative Geometry and Topology/ by Neculai S. Teleman.
作者:	Teleman, Neculai S.
面頁冊數:	XXII, 398 p. 12 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Differential geometry. -
電子資源:	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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