Habermann Introduction to Symplectic Dirac Operators

2006
ISBN: 978-3-540-33421-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1887, 125 Seiten, eBook

Reihe: Lecture Notes in Mathematics

This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology, which have become important fields and very active areas of mathematical research.

Zielgruppe

Research

Autoren/Hrsg.

Habermann, Katharina

Habermann, Lutz

Inhaltsverzeichnis

Background on Symplectic Spinors.- Symplectic Connections.- Symplectic Spinor Fields.- Symplectic Dirac Operators.- An Associated Second Order Operator.- The Kähler Case.- Fourier Transform for Symplectic Spinors.- Lie Derivative and Quantization.

Über Autor(innen)

Katharina Habermann is awarded by the "Gerhard Hess Preis 2000" – a research prize of the German Research Foundation (DFG) for excellent young researchers.