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. Series Editor(s): Goddard, Peter; Yeomans, Julia. Series: Cambridge Lecture Notes in Physics. Num Pages: 224 pages, black & white illustrations. BIC Classification: PBKF; PH. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 13. Weight in Grams: 305. . 2008. 1st Edition. paperback. . . . . Books ship from the US and Ireland.

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Bibliographic Details

Title: Dirac Operators & Spectral Geometry: 12 (Cambridge Lecture Notes in Physics, Series Number 12)
Publisher: Cambridge University Press
Publication Date: 1998
Language: English
ISBN 10: 0521648629
ISBN 13: 9780521648622
Binding: Soft cover
Condition: New

About this title

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 nonlocal 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 invaluable reference to the Dirac operator and its applications in theoretical physics.

Review

"...a compendium of useful information, alternately in summary and detailed form, for mathematicians/mathematical physicists..." Mathematical Reviews

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