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On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov - MaRDI portal

On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov (Q1963323)

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scientific article; zbMATH DE number 1393014
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English
On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov
scientific article; zbMATH DE number 1393014

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    On an axiomatic approach to geometric prequantization: a classification scheme à la Kostant-Souriau-Kirillov (English)
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    25 January 2000
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    The paper contains an interesting formulation of the basic constructions of geometric quantization [\textit{M. Puta}, ``Hamiltonian mechanical systems and geometric quantization'' (Math. Appl. 260, Kluwer, Dordrecht) (1993; Zbl 0795.70001)] in the framework of vector sheaves, a concept fully detailed in the author's book [``Geometry of vector sheaves'' (Math. Appl. 439, Kluwer, Dordrecht) (1998; Zbl 0904.18001 and Zbl 0904.18002)].
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    algebraized space
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    vector sheaf
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    sheaf cohomology
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