From Differential Geometry to Non-commutative Geometry and Topology

Teleman, Neculai S.

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.

Details

Published by: Springer

Publication Date: 2020-11-18

Format: Paperback

ISBN-13: 9783030284350

DOI: 10.1007/978-3-030-28433-6

Dimensions: 235cm x155cm

Pages: 398