The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1996
|
Schriftenreihe: | Progress in Nonlinear Differential Equations and their Applications
18 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 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 |
Beschreibung: | 1 Online-Ressource (VIII, 247 p) |
ISBN: | 9781461253440 9781461253464 |
DOI: | 10.1007/978-1-4612-5344-0 |
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spelling | Duistermaat, J. J. Verfasser aut The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator by J. J. Duistermaat Boston, MA Birkhäuser Boston 1996 1 Online-Ressource (VIII, 247 p) txt rdacontent c rdamedia cr rdacarrier Progress in Nonlinear Differential Equations and their Applications 18 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 Mathematics Global analysis (Mathematics) Analysis Mathematik Kern Mathematik (DE-588)4163599-1 gnd rswk-swf Dirac-Operator (DE-588)4150118-4 gnd rswk-swf Dirac-Operator (DE-588)4150118-4 s Kern Mathematik (DE-588)4163599-1 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-5344-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Duistermaat, J. J. The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator Mathematics Global analysis (Mathematics) Analysis Mathematik Kern Mathematik (DE-588)4163599-1 gnd Dirac-Operator (DE-588)4150118-4 gnd |
subject_GND | (DE-588)4163599-1 (DE-588)4150118-4 |
title | The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator |
title_auth | The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator |
title_exact_search | The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator |
title_full | The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator by J. J. Duistermaat |
title_fullStr | The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator by J. J. Duistermaat |
title_full_unstemmed | The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator by J. J. Duistermaat |
title_short | The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator |
title_sort | the heat kernel lefschetz fixed point formula for the spin c dirac operator |
topic | Mathematics Global analysis (Mathematics) Analysis Mathematik Kern Mathematik (DE-588)4163599-1 gnd Dirac-Operator (DE-588)4150118-4 gnd |
topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik Kern Mathematik Dirac-Operator |
url | https://doi.org/10.1007/978-1-4612-5344-0 |
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