The normal form theorem around Poisson transversals

DOI10.2140/pjm.2017.287.371zbMath1362.53087arXiv1306.6055OpenAlexW3099191520MaRDI QIDQ521740

Pedro Frejlich, Ioan Mǎrcuţ

Publication date: 12 April 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6055

zbMATH Keywords

normal formPoisson manifoldsPoisson structuresWeinstein's splitting theoremcosymplectic submanifoldsPoisson groupoids and algebroids

Mathematics Subject Classification ID

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

Related Items (18)

Symplectic reduction along a submanifold ⋮ On dual pairs in Dirac geometry ⋮ Weakly Hamiltonian actions ⋮ Lie groupoids and their natural transformations ⋮ The partial compactification of the universal centralizer ⋮ Normal forms for principal Poisson Hamiltonian spaces ⋮ Normal forms for Dirac-Jacobi bundles and splitting theorems for Jacobi structures ⋮ Weak dual pairs in Dirac–Jacobi geometry ⋮ A linear algebraic setting for Jacobi structures ⋮ Blow-ups in generalized complex geometry ⋮ Poisson geometry from a Dirac perspective ⋮ Normal forms for Poisson maps and symplectic groupoids around Poisson transversals ⋮ \(G\)-invariant deformations of almost-coupling Poisson structures ⋮ Morita invariance of intrinsic characteristic classes of Lie algebroids ⋮ Splitting theorems for Poisson and related structures ⋮ Deformation spaces and normal forms around transversals ⋮ Deformations of Lagrangian submanifolds in log-symplectic manifolds ⋮ Poisson manifolds of compact types (PMCT 1)

Cites Work

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• Gauge equivalence of Dirac structures and symplectic groupoids
• Symplectic manifolds and their Lagrangian submanifolds
• Submanifolds in Poisson geometry: a survey
• Coisotropic embeddings in Poisson manifolds
• Partial Differential Relations
• Dirac submanifolds and Poisson involutions
• Generalized Hamiltonian Dynamics

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