Dirac Operators and Spectral Geometry
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Dirac Operators and Spectral Geometry by Giampiero Esposito
Book DescriptionThe 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.
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Book DetailsISBN: 9780521648622
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 20-Aug-1998
Country of Publication: United Kingdom
Books By Author Giampiero Esposito
Advanced Concepts in Quantum Mechanics, Hardback (November 2014)
This book introduces a geometric view of fundamental physics, ideal for advanced undergraduate and graduate students in quantum mechanics and mathematical physics.
From Classical to Quantum Mechanics, Paperback (June 2010)» View all books by Giampiero Esposito
This 2004 textbook provides a pedagogical introduction to the formalism, foundations and applications of quantum mechanics.
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