The Heat Kernel Lefschetz Fixed Point Formula for the Spin-C Dirac Operator (Progress in Nonlinear Differential Equations and Their Applications, #18) (Modern Birkhauser Classics) (P.N.L.D.E. S., v. 18)

by J J Duistermaat

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

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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."
  • ISBN10 0817638652
  • ISBN13 9780817638658
  • Publish Date 1 February 1996 (first published December 1995)
  • Publish Status Out of Print
  • Out of Print 22 June 2015
  • Publish Country US
  • Imprint Birkhauser Boston Inc
  • Edition 7th ed.
  • Format Hardcover
  • Pages 247
  • Language English