[ DevCourseWeb ] From Differential Geometry to Non-commutative Geometry and Topology

[ FreeCourseWeb.com ] From Differential Geometry to Non-commutative Geometry and Topology

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English | 2019 | ISBN: 3030284328 | 420 pages | EPUB, PDF | 24.75 MB

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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