Splitting theorems for Poisson and related structures

DOI10.1515/crelle-2017-0014zbMath1425.53103arXiv1605.05386OpenAlexW2963271640MaRDI QIDQ2272906

Henrique Bursztyn, Hudson Lima, Eckhard Meinrenken

Publication date: 17 September 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05386

zbMATH Keywords

Poisson structuressplitting theorems

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (18)

Linearization of Poisson groupoids ⋮ On dual pairs in Dirac geometry ⋮ Dynamical residues of Lorentzian spectral zeta functions ⋮ Lie groupoids and their natural transformations ⋮ Differential geometry of weightings ⋮ Conelike radiant structures ⋮ Normal forms for principal Poisson Hamiltonian spaces ⋮ Normal forms for Dirac-Jacobi bundles and splitting theorems for Jacobi structures ⋮ The universal Lie \(\infty\)-algebroid of a singular foliation ⋮ Euler-like vector fields, normal forms, and isotropic embeddings ⋮ Poisson geometry from a Dirac perspective ⋮ Fibrations and stable generalized complex structures ⋮ Euler-like vector fields, deformation spaces and manifolds with filtered structure ⋮ Morita invariance of intrinsic characteristic classes of Lie algebroids ⋮ The neighborhood of a singular leaf ⋮ Deformation spaces and normal forms around transversals ⋮ Complex Dirac structures: invariants and local structure ⋮ Poisson structures of near-symplectic manifolds and their cohomology

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