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From Differential Geometry to Non-commutative Geometry and 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 continua...

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Bibliographic Details
Main Author: Teleman, Neculai S.
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Subjects:
Complex Manifolds
Differential Geometry
Manifolds And Cell Complexes (incl. Diff.topology)
Manifolds (mathematics)
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:XXII, 398 p. 12 illus online resource
ISBN:9783030284336

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