Universal lifting theorem and quasi-Poisson groupoids

DOI10.4171/JEMS/315zbMath1256.17010arXivmath/0507396MaRDI QIDQ2428715

Ping Xu, David Iglesias-Ponte, Camille Laurent-Gengoux

Publication date: 20 April 2012

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507396

zbMATH Keywords

Lie algebroidsLie groupoidsmomentum mapsManin triplePoisson groupoidsUniversal lifting theorem

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items

Pseudo-Poisson Nijenhuis manifolds, Multiplicative Nambu structures on Lie groupoids, Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids, Poisson-Lie structures as shifted Poisson structures, Poisson quasi-Nijenhuis manifolds, Local formulas for multiplicative forms, Jacobi quasi-Nijenhuis algebroids, Poisson groupoids and moduli spaces of flat bundles over surfaces, Poisson-Nijenhuis groupoids, Reduction of symplectic groupoids and quotients of quasi-Poisson manifolds, Multiplicative forms at the infinitesimal level, Symplectic groupoids for Poisson integrators, Affine structures on Lie groupoids, On quasi-Jacobi and Jacobi-quasi bialgebroids, Infinitesimal Automorphisms of VB-Groupoids and Algebroids, Poisson quasi-Nijenhuis manifolds and the Toda system, Lie groupoids and the Frölicher-Nijenhuis bracket, Deformations of linear Lie brackets, Holomorphic Jacobi manifolds and holomorphic contact groupoids, Linearization of the higher analogue of Courant algebroids, Local and global integrability of Lie brackets, Lie theory of multiplicative tensors, Dimensional reduction of Courant sigma models and Lie theory of Poisson groupoids

Cites Work

• Lie group valued moment maps
• Manin pairs and moment maps.
• Quasi-Poisson Manifolds