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From Differential Geometry to Non-Commutative Geometry and Topology
Hardcover
ISBN13: 9783030284329
Publisher: Springer Nature
Published: Nov 18 2019
Pages: 398
Weight: 1.69
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English
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.
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