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Book 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.

Book details

Book category Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Dirac Operators and Spectral Geometry
• Author: Giampiero Esposito
• Language: English
• Binding: Paperback
• Number of pages: 224
• EAN: 9780521648622
• ISBN: 0521648629
• ID: 04093616
• Publisher: Cambridge University Press
• Weight: 305 g
• Dimensions: 228 × 152 × 13 mm
• Date of publishing: 20. August 1998

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