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The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator. Softcover reprint of the original 1st ed. 1996.
・ISBN 978-1-4612-5346-4 paper EUR 49.99
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| 著者・編者 | Duistermaat, J.J., |
|---|---|
| シリーズ | Progress in Nonlinear Differential Equations and Their Applications |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2011 |
| ページ数 | 247 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-17570＞ |
解説
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.