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Dirac Operators and Spectral Geometry by Giampiero Esposito, Peter Goddard, Julia Yeomans

Dirac Operators and Spectral Geometry

by Giampiero Esposito , Peter Goddard , Julia Yeomans
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Book cover type: Paperback
  • ISBN13: 9780521648622
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 224
  • Original Price: GBP 49.0
  • Language: English
  • Edition: N/A
  • Item Weight: 336 grams
  • BISAC Subject(s): Physics / General

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.

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