An Introduction to Noncommutative Geometry (EMS Series of Lectures in Mathematics)

Joseph C. Varilly

ISBN 10: 3037190248 / ISBN 13: 9783037190241

Verlag: European Mathematical Society, 2006

new title edition. 121 pages. 9.25x6.50x0.25 inches. In Stock. Bestandsnummer des Verkäufers 3037190248

Inhaltsangabe:

This introduction is aimed at graduate students of both mathematics and theoretical physics. It deals with Dirac operators on spin manifolds, noncommutative tori, Moyal quantization and tangent groupoids, action functionals, and isospectral deformations. The structural framework is the concept of a noncommutative spin geometry; the conditions on spectral triples which determine this concept are developed in detail. The emphasis throughout is on gaining understanding by computing the details of specific examples.
The book provides a middle ground between a comprehensive text and a narrowly focused research monograph. It is intended for self-study, enabling the reader to gain access to the essentials of noncommutative geometry. New features since the original course are an expanded bibliography and a survey of more recent examples and applications of spectral triples.

Reseña del editor: This introduction is aimed at graduate students of both mathematics and theoretical physics. It deals with Dirac operators on spin manifolds, noncommutative tori, Moyal quantization and tangent groupoids, action functionals, and isospectral deformations. The structural framework is the concept of a noncommutative spin geometry; the conditions on spectral triples which determine this concept are developed in detail. The emphasis throughout is on gaining understanding by computing the details of specific examples.
The book provides a middle ground between a comprehensive text and a narrowly focused research monograph. It is intended for self-study, enabling the reader to gain access to the essentials of noncommutative geometry. New features since the original course are an expanded bibliography and a survey of more recent examples and applications of spectral triples.

Bibliografische Details

Titel: An Introduction to Noncommutative Geometry (...
Verlag: European Mathematical Society
Erscheinungsdatum: 2006
Einband: Paperback
Zustand: Brand New