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

J. J. Duistermaat

ISBN 10: 0817638652 / ISBN 13: 9780817638658

Published by Birkhauser, Boston, 1995

About this Item

Progress in Nonlinear Differential Equations and Their Applications Volume 18. Green and blue paper covered boards with white titles, vii, 16 chapters, appendix, bibliography, index, 247 pages. Moderate rubbing, denting, and fading to boards, faint soiling to top page edges, previous owners name neatly written on top edge of front free end paper. Sound spine, and other than owners name the interior pages are unmarked. Size: 9.5 x 6.25 x .6: inches. Quantity Available: 1. ISBN: 0817638652. ISBN/EAN: 9780817638658. Pictures of this item not already displayed here available upon request. Inventory No: 5482.

Seller Inventory # 5482

Bibliographic Details

• Title: The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator
• Publisher: Birkhauser, Boston
• Publication Date: 1995
• Language: English
• ISBN 10: 0817638652
• ISBN 13: 9780817638658
• Binding: Hardcover
• Edition: First Edition.
• Condition: Very Good

About this title

Synopsis

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.

About the Author

Hans Duistermaat was a geometric analyst, who unexpectedly passed away in March 2010. His research encompassed many different areas in mathematics: ordinary differential equations, classical mechanics, discrete integrable systems, Fourier integral operators and their application to partial differential equations and spectral problems, singularities of mappings, harmonic analysis on semisimple Lie groups, symplectic differential geometry, and algebraic geometry. He was (co-)author of eleven books.

Duistermaat was affiliated to the Mathematical Institute of Utrecht University since 1974 as a Professor of Pure and Applied Mathematics. During the last five years he was honored with a special professorship at Utrecht University endowed by the Royal Netherlands Academy of Arts and Sciences. He was also a member of the Academy since 1982. He had 23 PhD students.