The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator

di J.J. Duistermaat (Autore)

Springer-Verlag New York Inc., 2011

When visiting M.I.T. for two weeks in October 1994, Victor Guillemin made me enthusiastic about a problem in symplectic geometry which involved the use of the so-called spin-c Dirac operator. Back in Berkeley, where I had l spent a sabbatical semester , I tried to understand the basic facts about this operator: its definition, the main theorems about it, and their proofs. This book is an outgrowth of the notes in which I worked this out. For me this was a great learning experience because of the many beautiful mathematical structures which are involved. I thank the Editorial Board of Birkhauser, especially Haim Brezis, for sug­ gesting the publication of these notes as a book. I am also very grateful for the suggestions by the referees, which have led to substantial improvements in the presentation. Finally I would like to express special thanks to Ann Kostant for her help and her prodding me, in her charming way, into the right direction. J.J. Duistermaat Utrecht, October 16, 1995.

• Autore: J.J. Duistermaat
• Editore: Springer-Verlag New York Inc.
• Collana: Progress in Nonlinear Differential Equations and Their Applications
• Anno: 2011
• Rilegatura: Paperback / softback
• Pagine: 247 p.
• Dimensioni: 235 x 155 mm
• EAN: 9781461253464

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