Submanifolds in Poisson geometry: a survey

DOI10.1007/978-3-642-20300-8_20zbMath1236.53067OpenAlexW20581194MaRDI QIDQ3098632

Marco Zambon

Publication date: 18 November 2011

Published in: Complex and Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20300-8_20

zbMATH Keywords

Poisson manifoldLie groupoidsymplectic groupoidcoisotropic submanifoldPoisson-Dirac submanifoldcosymplectic submanifoldpre-Poisson submanifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items

Submanifolds in Koszul-Vinberg geometry, Infinitesimal Poisson algebras and linearization of Hamiltonian systems, A linear algebraic setting for Jacobi structures, The normal form theorem around Poisson transversals

Cites Work

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• The local structure of Poisson manifolds
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• Star products and branes in Poisson-sigma models
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• Poisson reduction and branes in Poisson-sigma models
• On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds
• Integration of twisted Dirac brackets
• Pre-Poisson submanifolds
• Coisotropic embeddings in Poisson manifolds
• Dirac submanifolds and Poisson involutions
• Dirac Manifolds