Contact reduction and groupoid actions
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Publication:5713178
DOI10.1090/S0002-9947-05-03832-8zbMath1092.53056arXivmath/0405047MaRDI QIDQ5713178
Publication date: 12 December 2005
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0405047
Groups acting on specific manifolds (57S25) Geometry and quantization, symplectic methods (81S10) Momentum maps; symplectic reduction (53D20) Contact manifolds (general theory) (53D10) Pseudogroups and differentiable groupoids (58H05)
Related Items (7)
Singular cosphere bundle reduction ⋮ Contact isotropic realisations of Jacobi manifolds via Spencer operators ⋮ Integrability of Jacobi and Poisson structures ⋮ Reductions: precontact versus presymplectic ⋮ On the geometry of prequantization spaces ⋮ Holomorphic Jacobi manifolds and holomorphic contact groupoids ⋮ Locally conformally symplectic reduction
Cites Work
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- Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
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- On the integration of local Lie algebras and prequantization
- On the computation of the Lichnerowicz--Jacobi cohomology.
- Integration of twisted Dirac brackets
- Integrability of Jacobi and Poisson structures
- Contact reduction
- Quantization and unitary representations
- Riemannian geometry of contact and symplectic manifolds
- Lectures on symplectic geometry
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