ENGLISH

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

By Giampiero Esposito

Book information

Year
1998
ISBN
0521648629, 9780521648622
LCC
QC20.7.S64 E78 1998
Open Library ID
OL377471M
Language
english
Format
PDF
Filesize
2 MB (2452944 bytes)
Pages
224\224
Orientation
yes
Scanned
yes
Time added
2011-06-04 13:46:07

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.

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