Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics, Series Number 12) 1st Edition by Giampiero Esposito (PDF)

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 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 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 invaluable reference to the Dirac operator and its applications in theoretical physics.

User’s Reviews

Editorial Reviews: Review “…a compendium of useful information, alternately in summary and detailed form, for mathematicians/mathematical physicists…” Mathematical Reviews Book Description A clear, concise and up-to-date introduction to the theory of the Dirac operator and its wide range of applications in theoretical physics for graduate students and researchers.

Keywords

Free Download Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics, Series Number 12) 1st Edition in PDF format
Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics, Series Number 12) 1st Edition PDF Free Download
Download Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics, Series Number 12) 1st Edition 1998 PDF Free
Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics, Series Number 12) 1st Edition 1998 PDF Free Download
Download Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics, Series Number 12) 1st Edition PDF
Free Download Ebook Dirac Operators and Spectral Geometry (Cambridge Lecture Notes in Physics, Series Number 12) 1st Edition