Deformations of coisotropic submanifolds for fibrewise entire Poisson structures

DOI10.1007/s11005-013-0614-9zbMath1282.53073arXiv1207.1696OpenAlexW3121488808MaRDI QIDQ360407

Florian Schätz, Marco Zambon

Publication date: 26 August 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.1696

zbMATH Keywords

deformationMaurer-Cartan equationcoisotropic submanifold

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items

Simultaneous deformations and Poisson geometry ⋮ Deformations of Courant algebroids and Dirac structures via blended structures ⋮ Deformation in holomorphic Poisson manifolds ⋮ On equivalence of deforming Lie subalgebroids and deforming coisotropic submanifolds ⋮ On deformations of coisotropic submanifolds with fixed characteristic foliation ⋮ Deformations of pre-symplectic structures: a Dirac geometry approach ⋮ Deformations of Lagrangian submanifolds in log-symplectic manifolds ⋮ Nonabelian higher derived brackets

Cites Work

• BFV-complex and higher homotopy structures
• Relative formality theorem and quantisation of coisotropic submanifolds
• Coisotropic calculus and Poisson groupoids
• Introduction to sh Lie algebras for physicists
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• Deformations of coisotropic submanifolds and strong homotopy Lie algebroids
• An example of coisotropic submanifolds \(C^1\)-close to a given coisotropic submanifold
• Simultaneous deformations and Poisson geometry
• On Coisotropic Imbeddings of Presymplectic Manifolds

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