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From differential geometry to non-co...

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From differential geometry to non-commutative geometry and topology

Record Type:	Electronic resources : Monograph/item
Title/Author:	From differential geometry to non-commutative geometry and topologyby Neculai S. Teleman.
Author:	Teleman, Neculai S.
Published:	Cham :Springer International Publishing :2019.
Description:	xxii, 398 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Noncommutative differential geometry.
Online resource:	https://doi.org/10.1007/978-3-030-28433-6
ISBN:	9783030284336$q(electronic bk.)

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. - Cham :Springer International Publishing :2019. - xxii, 398 p. :ill., digital ;24 cm.

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$q(electronic bk.)

Standard No.: 10.1007/978-3-030-28433-6doiSubjects--Topical Terms:

266983
Noncommutative differential geometry.

LC Class. No.: QC20.7.D52 / T45 2019

Dewey Class. No.: 516.36

From differential geometry to non-commutative geometry and topology
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245 1 0 $a From differential geometry to non-commutative geometry and topology $h [electronic resource] / $c by Neculai S. Teleman.
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300 $a xxii, 398 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Noncommutative differential geometry. $3 266983
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