From Differential Geometry to Non-c - E-book

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From Differential Geometry To Non-commutative Geometry And Topology - ENG

Neculai S. Teleman

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Sinopsis

ISBN:	9783030284336
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría diferencial
Año de publicación:	2019-11-10

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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