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.

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

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