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The metaplectic representation, $Mp^{c}$ structures and geometric quantization

About this Title

P. L. Robinson and J. H. Rawnsley

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 81, Number 410
ISBNs: 978-0-8218-2473-3 (print); 978-1-4704-0833-6 (online)
DOI: https://doi.org/10.1090/memo/0410
MathSciNet review: 1015418
MSC: Primary 58F06; Secondary 22E45

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Table of Contents

Chapters

  • Introduction
  • 1. Preliminary topics
  • 2. The metaplectic representation
  • 3. Positive polarizations
  • 4. Isotropic reduction
  • 5. Derived representations
  • 6. $\mathrm {Mp}^c$ structures
  • 7. Prequantization
  • 8. Quantization
  • 9. Complex projective spaces
  • 10. Linear symplectic manifolds