Dirac Structures and Poisson Homogeneous Spaces
Copyright policy )Dirac Structures and Poisson Homogeneous Spaces
Poisson homogeneous spaces for Poisson groupoids are classfied in terms of Dirac structures for the corresponding Lie bialgebroids. Applications include Drinfel'd's classification in the case of Poisson groups and a description of leaf spaces of foliations as homogeneous spaces of pair groupoids.
LaTex, 28 pages
- University of California, Berkeley United States
- Pennsylvania State University United States
- Peking University China (People's Republic of)
- Peking University China (People's Republic of)
Mathematics - Differential Geometry, Poisson groupoids, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Poisson groups, Poisson homogeneous spaces, Differential geometry of homogeneous manifolds, Differential Geometry (math.DG), Pseudogroups and differentiable groupoids, Dirac structures, 58F05 (Primary) 17B66, 22A22, 53C99, 58H05 (secondary), General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, Topological groupoids (including differentiable and Lie groupoids)
Mathematics - Differential Geometry, Poisson groupoids, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Poisson groups, Poisson homogeneous spaces, Differential geometry of homogeneous manifolds, Differential Geometry (math.DG), Pseudogroups and differentiable groupoids, Dirac structures, 58F05 (Primary) 17B66, 22A22, 53C99, 58H05 (secondary), General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, Topological groupoids (including differentiable and Lie groupoids)
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