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

By: J.J. Duistermaat (Author)

Ksh 8,100.00
Format :

Format(s): DRM PDF

ISBN-13: 9781461253440

Publisher: Birkhauser Boston

Imprint: Birkhauser

Publication Date: December 1st, 2013

Country of Publication: US

Language: English

Physical Edition EAN: 9780817638658

Category: Calculus & mathematical analysis , Differential & Riemannian geometry

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  • Description

  • Author Bio

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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