Home » Dirac Operators: Yesterday and Today: Proceedings of the Summer School and Workshop: Cams-Aub, Lebanon: August 27-September 7, 2001 by Jean-Pierre Bourguignon
Dirac Operators: Yesterday and Today: Proceedings of the Summer School and Workshop: Cams-Aub, Lebanon: August 27-September 7, 2001 Jean-Pierre Bourguignon

Dirac Operators: Yesterday and Today: Proceedings of the Summer School and Workshop: Cams-Aub, Lebanon: August 27-September 7, 2001

Jean-Pierre Bourguignon

Published December 31st 2005
ISBN : 9781571461759
Hardcover
320 pages
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 About the Book 

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 presentedMoreThis 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.