From Differential Geometry to Non-commutative Geometry and Topology

Released on by Neculai S. Teleman
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  • From Differential Geometry to Non-commutative Geometry and Topology Book Detail

  • Author : Neculai S. Teleman
  • Release Date : 2019-11-10
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 398
  • ISBN 13 : 3030284336
  • File Size : 23,23 MB
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From Differential Geometry to Non-commutative Geometry and Topology by Neculai S. Teleman PDF Summary

Book Description: 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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Noncommutative Geometry

Noncommutative Geometry

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Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providin