Heat kernels and Dirac operators
Book information
Description
In this book, the Atiyah-Singer index theorem for Dirac operators on compact Riemannian manifolds and its more recent generalizations receive simple proofs. The main technique which is used is an explicit geometric construction of the heat kernels of a generalized Dirac operator. The first four chapters could be used at the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. Several chapters deal with other preparatory material.
Similar books
Heat Kernels and Dirac Operators
2004 · DJVU
Integer Points in Polyhedra
2008 · DJVU
Higher Category Theory: Workshop on Higher Category Theory, March 28-30, 1997, Northwestern University, Evanston, Il
1998 · DJVU
Théorie des jeux : Introduction à la théorie des jeux répétés
2007 · PDF
Non-Commutative Harmonic Analysis and Lie Groups: Proceedings of the International Conference held in Marseille-Luminy, June 24–29, 1985
1987 · PDF
Non Commutative Harmonic Analysis and Lie Groups: Actes du Colloque d'Analyse Harmonique Non Commutative, 16 au 20 juin 1980 Marseille-Luminy
1981 · PDF
Analyse sur les groupes de Lie et théorie des représentations
2001 · PDF
Non-Commutative Harmonic Analysis and Lie Groups
1987 · DJVU