Dirac Operators and Spectral Geometry: (Cambridge Lecture Notes in Physics)
By
Giampiero Esposito (Author)
Paperback
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Description
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. Worked examples or Exercises
More Details
- Contributor: Giampiero Esposito
- Imprint: Cambridge University Press
- ISBN13: 9780521648622
- Number of Pages: 224
- Packaged Dimensions: 152x228x13mm
- Packaged Weight: 305
- Format: Paperback
- Publisher: Cambridge University Press
- Release Date: 1998-08-20
- Series: Cambridge Lecture Notes in Physics
- Binding: Paperback / softback
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