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Prequantizable Poisson manifolds and Jacobi structures

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Publication:4393670
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DOI10.1088/0305-4470/29/19/016zbMath0908.58023OpenAlexW1969062923MaRDI QIDQ4393670

Manuel de León, Domingo Chinea, Juan Carlos Marrero

Publication date: 11 June 1998

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/19/016


zbMATH Keywords

Jacobi structureprequantization bundleprequantizable Poisson manifold


Mathematics Subject Classification ID

Geometric quantization (53D50)


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Integration of conformal Jacobi fibrations and prequantization of Poisson fibrations ⋮ Geometric quantization of Dirac manifolds ⋮ A constant of motion in 3D implies a local generalized Hamiltonian structure. ⋮ On the geometry of prequantization spaces ⋮ On the geometric quantization of Jacobi manifolds ⋮ On twisted contact groupoids and on integration of twisted Jacobi manifolds ⋮ Hamiltonian structure and Darboux theorem for families of generalized Lotka–Volterra systems



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