J. J. Duistermaat

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

Buch

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 pu… Mehr

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Produktdetails

ISBN: 978-1-4612-5346-4
EAN: 9781461253464
Produktnummer: 13389501
Verlag: Birkhäuser Boston
Sprache: Englisch
Erscheinungsjahr: 2011
Seitenangabe: 260 S.
Masse: H23.5 cm x B15.5 cm x D1.4 cm 400 g
Auflage: Softcover reprint of the original 1st ed. 1996
Abbildungen: Paperback
Gewicht: 400

Über den Autor

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.