Introduction to Symplectic Dirac Operators

One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold. Symplectic spinor fields are sections in an L 2-Hilbert space b...

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Bibliographic Details
Main Authors: Habermann, Katharina, Habermann, Lutz (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2006, 2006
Edition:1st ed. 2006
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 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