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From Differential Geometry to Non-commutative Geometry and Topology

Authors: Teleman, Nicolae

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  • Compiles all the tools and results of index theory, so the reader obtains a good overview of the topic
  • Shows that the index formula is a topological statement, giving the reader a new perspective on index theory
  • Presents detailed steps of non-trivial computations, which enables the reader to achieve them
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-28433-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-28432-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.


About the authors

Neculai S. Teleman did his PhD with I. Singer at MIT in 1977, working on extending the index theorem to combinatorial manifolds. He was professor at the Universitá di Roma La Sapienza, at SUNY Stony Brook, and at Universitá Politechnica delle Marche, Italy. His interests are on global analysis of PL-manifolds, combinatorial Hodge Theory, Index Theory, Quasi conformal mappings, and Singularity Theory.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-28433-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-28432-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
From Differential Geometry to Non-commutative Geometry and Topology
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-28433-6
DOI
10.1007/978-3-030-28433-6
Hardcover ISBN
978-3-030-28432-9
Edition Number
1
Number of Pages
XXII, 398
Number of Illustrations
12 b/w illustrations
Topics