Dirac Operators: Yesterday and Today

Description

This volume represents the proceedings of a summer school and workshop on Dirac operators held at the American University of Beirut in 2001. An introduction to all necessary background material to begin research in Dirac operators is presented including elementary differential geometry, Clifford algebras, Lie groups, special geometries, leading to a presentation of the fundamental role of Dirac operators in the Atiyah-Singer Index Theorem and particle physics. More advanced topics are presented in the proceedings of the workshop where, for example, topics on the spectrum of Dirac operators, pseudo-Riemannian geometry, and first eigenvalue estimates are presented. This book is suitable for self-study by students and non-experts as a panorama on Dirac operators, but also contains, for experts, an outstanding bibliography on the subject.

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