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

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

Paperback

Series: Progress in Nonlinear Differential Equations and Their Appli, Book 18

General MathematicsGeometry

ISBN10: 1461253462
ISBN13: 9781461253464
Publisher: Springer Nature
Published: Oct 21 2011
Pages: 247
Weight: 0.81
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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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