Integration of holomorphic Lie algebroids

DOI10.1007/s00208-009-0388-7zbMath1177.53075arXiv0803.2031OpenAlexW3103177073MaRDI QIDQ734967

Camille Laurent-Gengoux, Ping Xu, Mathieu Stiénon

Publication date: 14 October 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2031

zbMATH Keywords

integration problemCrainic-Fernandes criteriaholomorphic Lie algebroidsreal Poisson manifolds

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10)

Related Items (22)

On almost complex Lie algebroids ⋮ Symplectic reduction along a submanifold ⋮ Multiplicative connections and their Lie theory ⋮ Glanon groupoids ⋮ Poisson structures on almost complex Lie algebroids ⋮ Morita equivalence and the generalized Kähler potential ⋮ Dirac structures and Nijenhuis operators ⋮ Foliated Lie and Courant algebroids ⋮ Integration of generalized complex structures ⋮ Poisson-Nijenhuis groupoids ⋮ Integrating Nijenhuis structures ⋮ Lie and Courant algebroids on foliated manifolds ⋮ Affine structures on Lie groupoids ⋮ Differential forms with values in VB-groupoids and its Morita invariance ⋮ Lie groupoids and the Frölicher-Nijenhuis bracket ⋮ Forms and Chern classes on Hermitian Lie algebroids ⋮ Foliated groupoids and infinitesimal ideal systems ⋮ Holomorphic Jacobi manifolds and holomorphic contact groupoids ⋮ Local and global integrability of Lie brackets ⋮ Hyperkähler metrics near Lagrangian submanifolds and symplectic groupoids ⋮ Lie theory of multiplicative tensors ⋮ HOLOMORPHIC SYMPLECTIC AND POISSON STRUCTURES ON THE HOLOMORPHIC COTANGENT BUNDLE OF A COMPLEX LIE GROUP AND OF A HOLOMORPHIC PRINCIPAL BUNDLE

Cites Work

• Generalized complex structures and Lie brackets
• Poisson quasi-Nijenhuis manifolds
• Lie bialgebroids and Poisson groupoids
• Integrability of Lie brackets
• Integrability of Poisson brackets
• Integration of Lie bialgebroids
• The Lie bialgebroid of a Poisson-Nijenhuis manifold
• Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
• Duality for Lie-Rinehart algebras and the modular class
• Dirac submanifolds and Poisson involutions
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• KV-COHOMOLOGY OF KOSZUL–VINBERG ALGEBROIDS AND POISSON MANIFOLDS
• Hyperelliptic Prym varieties and integrable systems
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