Lie algebroid fibrations

DOI10.1016/j.aim.2010.10.006zbMath1210.53076arXiv1001.4904OpenAlexW1971712205MaRDI QIDQ626105

Chenchang Zhu, Olivier Brahic

Publication date: 22 February 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.4904

zbMATH Keywords

Lie algebroidsfibrationshomotopy groupsEhresmann connectionCrainic and Fernandes's obstruction

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (7)

The holonomy of a singular leaf ⋮ Submersions by Lie algebroids ⋮ Integration of Lie 2-algebras and their morphisms ⋮ Lie groupoids and their natural transformations ⋮ Shifted symplectic higher Lie groupoids and classifying spaces ⋮ Lie and Courant algebroids on foliated manifolds ⋮ Integration of $2$-term representations up to homotopy via $2$-functors

Cites Work

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• The local structure of Poisson manifolds
• Lie groupoids as generalized atlases
• Poisson actions up to homotopy and their quantization
• Integrability of Lie brackets
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• Lie algebroids, holonomy and characteristic classes
• Extensions of Lie brackets
• Integrability of Jacobi and Poisson structures
• Prequantization and Lie brackets
• Poisson structures and their normal forms
• Integrating Lie algebroids via stacks
• Characteristic classes associated to Q-bundles
• Lie groups

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