Dirac Operators & Spectral Geometry: 12 (Cambridge Lecture Notes in Physics, Series Number 12) - Image 1

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Cambridge University Press Dirac Operators & Spectral Geometry: 12 (Cambridge Lecture Notes in Physics, Series Number 12)

Name: Dirac Operators & Spectral Geometry: 12 (Cambridge Lecture Notes in Physics, Series Number 12)
Brand: Cambridge University Press
Price: 44.54 GBP
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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.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 0521648629
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 21 August 2008
Listed Since: 04 January 2007

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Cambridge University Press Dirac Operators & Spectral Geometry: 12 (Cambridge Lecture Notes in Physics, Series Number 12)

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