From Differential Geometry to Non-commutat...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

1. Part I Spaces, bundles and characteristic classes in differential geometry.- 2. Part II Non-commutative differential geometry.- 3. Part III Index Theorems.- 4. Part IV Prospects in Index Theory. Part V.- 5. Non-commutative topology.

Details

Erscheinungsjahr:	2020
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xxii 398 S. 12 s/w Illustr. 398 p. 12 illus.
ISBN-13:	9783030284350
ISBN-10:	3030284352
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Teleman, Neculai S.
Hersteller:	Springer Palgrave Macmillan Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 23 mm
Von/Mit:	Neculai S. Teleman
Erscheinungsdatum:	18.11.2020
Gewicht:	0,633 kg