The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
- ISBN-10
- 1461253446
- ISBN-13
- 9781461253440
- Category
- Mathematics
- Pages
- 245
- Language
- English
- Published
- 2013-12-01
- Publisher
- Springer Science & Business Media
- Author
- J.J. Duistermaat
Description
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.
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