Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics) Download Pdf

Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics)


Book Title :Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics)

The Dirac operator has many useful applications in theoretical physics and mathematics. This book provides a clear, concise and selfcontained 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 heatkernel asymptotics and quantum field theory. Topics covered include the introduction of spinstructures in Riemannian and Lorentzian manifolds applications of index theory heatkernel asymptotics for operators of Laplace type quark boundary conditions oneloop quantum cosmology conformally covariant operators and the role of the Dirac operator in some recent investigations of fourmanifolds. 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.



Author(s) :Giampiero Esposito (1998)

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