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.
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© 2000 Springer Science+Business Media Dordrecht
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Awane, A., Goze, M. (2000). Geometric Pre-Quantization. In: Pfaffian Systems, k-Symplectic Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9526-1_9
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DOI: https://doi.org/10.1007/978-94-015-9526-1_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5486-9
Online ISBN: 978-94-015-9526-1
eBook Packages: Springer Book Archive