Geometric Pre-Quantization

Azzouz Awane and Michel Goze
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Azzouz Awane: Université Hassan II, Faculté des Sciences
Michel Goze: Université de Haute Alsace, Faculté des Sciences et Techniques

Chapter Chapter 9 in Pfaffian Systems, k-Symplectic Systems, 2000, pp 217-232 from Springer

Abstract: 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.

Keywords: Line Bundle; Open Covering; Hermitian Structure; Complex Bundle Line; Convex Neighborhood (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-015-9526-1_9

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DOI: 10.1007/978-94-015-9526-1_9

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