An Introduction to Dirac Operators on Manifolds

Language: English

Published by Birkhäuser, Birkhäuser, 2012

1461265967 / 9781461265962

Series: Book 4 of 37 - Progress in Mathematical Physics

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups. In this essentially self-contained work, the basic ideas underlying the concept of Dirac operators are explored. Starting with Clifford algebras and the fundamentals of differential geometry, the text focuses on two main properties, namely, conformal invariance, which determines the local behavior of the operator, and the unique continuation property dominating its global behavior. Spin groups and spinor bundles are covered, as well as the relations with their classical counterparts, orthogonal groups and Clifford bundles. The chapters on Clifford algebras and the fundamentals of differential geometry can be used as an introduction to the above topics, and are suitable for senior undergraduate and graduate students. The other chapters are also accessible at this level so that this text requires very little previous knowledge of the domains covered. The reader will benefit, however, from some knowledge of complex analysis, which gives the simplest example of a Dirac operator. More advanced readers---mathematical physicists, physicists and mathematicians from diverse areas---will appreciate the fresh approach to the theory as well as the new results on boundary value theory.

Seller Inventory # 9781461265962

Title
An Introduction to Dirac Operators on Manifolds
Author
Jan Cnops
Publisher
Birkhäuser, Birkhäuser
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461265967
ISBN 13
9781461265962
Item weight
353 grams
Dimensions
235x155x13 mm
Series
Book 4 of 37: Progress in Mathematical Physics

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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