DIRAC OPERATORS AND SPECTRAL GEOMETRY by Giampiero Esposito, Peter Goddard, Julia Yeomans ( 9780521648622 )

Item Details

Title:

DIRAC OPERATORS AND SPECTRAL GEOMETRY

By:

Giampiero Esposito, Peter Goddard, Julia Yeomans

Format:

Paperback

List price:

£44.99

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£39.37

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£5.62

ISBN 10:

0521648629

ISBN 13:

9780521648622

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

20 August, 1998

Series:

Cambridge Lecture Notes in Physics No. 12

Pages:

224

Description:

A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students and researchers.

Synopsis:

The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and self-contained introduction to the global theory of the Dirac operator and to the analysis of spectral asymptotics with local or non-local boundary conditions. The theory is introduced at a level suitable for graduate students. Numerous examples are then given to illustrate the peculiar properties of the Dirac operator, and the role of boundary conditions in heat-kernel asymptotics and quantum field theory. Topics covered include the introduction of spin-structures in Riemannian and Lorentzian manifolds; applications of index theory; heat-kernel asymptotics for operators of Laplace type; quark boundary conditions; one-loop quantum cosmology; conformally covariant operators; and the role of the Dirac operator in some recent investigations of four-manifolds. This volume provides graduate students with a rigorous introduction and researchers with a valuable reference to the Dirac operator and its applications in theoretical physics.

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Imprint:

Cambridge University Press

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Returnable

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