We prove that the cotangent of a double Lie groupoid S has itself a double groupoid structure with sides the duals of associated Lie algebroids, and double base the dual of the Lie algebroid of the core of S. Using this, we prove a result outlined by Weins
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On symplectic double gro... 暂无评价 21页 免费 Flops and Poisson deform...By using the duality between manifolds and ring of functions de?ned on ...
manifolds, and to the study of dual pairs, Morita equivalence and reduction...The monodromy groups of Poisson manifolds 4. The symplectic groupoid Σ(M...
-algebras, von Neumann algebras, Lie groupoids, symplectic groupoids, and...Integrable Poisson manifolds [8], regular [16] symplectic bimodules (dual ...
duality will be used blindly, submanifolds and the hoe mology classes they...18 (1983) 279–315 [6] S K Donaldson, Lefschetz pencils on symplectic ...
3) by the symplectic groupoid of the Poisson manifold M (called also ...yields so called moment map from Ph M to the dual Poisson group e G? ...
From Lie groupoids to re... 暂无评价 46页 免费 Time's Arrow from ... Symplectic singularities from the Poisson point of view We consider ...
Journal of Algebra 319 (2008) 4485–4535 www.elsevier.com/locate/jalgebra Quantum and Poisson structures of multi-parameter symplectic and Euclidean spaces...
Xu P.Lie bialgebroids and Poisson groupoids【J].Duke Math.,1994,73(2):415—452 [6】Weistein A.Symplectic groupoids and Poisson manifolds[J1....
thesis-Symplectic reflection algebras and Poisson geometry 最近的一些论文最近的一些论文隐藏>> Symplectic re?ection algebras and Poisson geometry by Maurizio ...
symplectic form (and, hence, a Poisson structure...between the groupoid and the dual of its ...
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