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    From Differential Geometry to Non-commutative Geometry and Topology

    Posted By: AvaxGenius
    From Differential Geometry to Non-commutative Geometry and Topology

    From Differential Geometry to Non-commutative Geometry and Topology by Neculai S. Teleman
    English | PDF,EPUB | 2019 | 406 Pages | ISBN : 3030284328 | 24 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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