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From Differential Geometry to Non-commutative Geometry and Topology - Neculai S. Teleman

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From Differential Geometry to Non-commutative Geometry and Topology

By: Neculai S. Teleman

eText | 10 November 2019

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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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You Can Find This eBook In

Non-FictionMathematicsGeometryDifferential & Riemannian GeometryTopologyAnalytic Geometry

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Paperback

Published: 18th November 2020

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