The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
Produktnummer:
1893d0313f94414c8eac5a6e3fae0fb3b1
| Autor: | Duistermaat, J.J. |
|---|---|
| Themengebiete: | Dirac operator Hamiltonian Laplace operator diffusion geometry manifold operator |
| Veröffentlichungsdatum: | 21.10.2011 |
| EAN: | 9781461253464 |
| Sprache: | Englisch |
| Seitenzahl: | 247 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Birkhäuser Boston |
Produktinformationen "The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator"
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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