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

Duistermaat, Johannes Jisse

ISBN 10: 0817638652 / ISBN 13: 9780817638658

Published by Birkhäuser, Boston, 1996

About this Item

gr8 Original-Pappband en Mathematik, Naturwissenschaften (Progress in Nonlinear Differential Equations and Their Applications. Vol. 18); VIII pp., 247 pp.

Seller Inventory # 1417

Bibliographic Details

• Title: The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator.
• Publisher: Birkhäuser, Boston
• Publication Date: 1996
• Language: English
• ISBN 10: 0817638652
• ISBN 13: 9780817638658
• Binding: Original-Pappband
• Condition: Sehr gut
• Weight: 1000 grams

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.