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Geometric Pre-Quantization

In: Pfaffian Systems, k-Symplectic Systems

Author

Listed:
  • Azzouz Awane

    (Université Hassan II, Faculté des Sciences)

  • Michel Goze

    (Université de Haute Alsace, Faculté des Sciences et Techniques)

Abstract

The aim of this chapter is a discussion about the geometric pre-quantization of the k—symplectic manifolds. In order to fix the terminology used, we begin by recalling some basic results of Cěch cohomology, and complex bundle lines. For the proofs the reader is referred to Wallach [54] and Warner [55]. We advise the reader to use the first and second sections for reference purpose only.

Suggested Citation

  • Azzouz Awane & Michel Goze, 2000. "Geometric Pre-Quantization," Springer Books, in: Pfaffian Systems, k-Symplectic Systems, chapter 0, pages 217-232, Springer.
    • Handle: RePEc:spr:sprchp:978-94-015-9526-1_9
    DOI: 10.1007/978-94-015-9526-1_9
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