Title:
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DIRAC OPERATORS AND SPECTRAL GEOMETRY
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By: |
Giampiero Esposito, Peter Goddard, Julia Yeomans |
Format: |
Paperback |

List price:
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£47.00 |
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£41.13 |
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£5.87 |
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ISBN 10: |
0521648629 |
ISBN 13: |
9780521648622 |
Availability: |
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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. |
Publication: |
UK |
Imprint: |
Cambridge University Press |
Returns: |
Returnable |