Introduction to symplectic Dirac operators
著者
書誌事項
Introduction to symplectic Dirac operators
(Lecture notes in mathematics, 1887)
Springer, c2006
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注記
Includes bibliographical references (p. [115]-118) and index
内容説明・目次
内容説明
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.
目次
Background on Symplectic Spinors.- Symplectic Connections.- Symplectic Spinor Fields.- Symplectic Dirac Operators.- An Associated Second Order Operator.- The Kahler Case.- Fourier Transform for Symplectic Spinors.- Lie Derivative and Quantization.
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