Remarks on contact and Jacobi geometry
DOI10.3842/SIGMA.2017.059zbMath1369.53057arXiv1507.05405MaRDI QIDQ2012910
Katarzyna Grabowska, Andrew James Bruce, Janusz Grabowski
Publication date: 3 August 2017
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.05405
Lie groupoidsPoisson structuressymplectic structuressymplectic groupoidscontact structuresprincipal bundlesJacobi structures
Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10) Pseudogroups and differentiable groupoids (58H05) Variational aspects of group actions in infinite-dimensional spaces (58E40)
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- A note on actions of some monoids
- Polarisation of graded bundles
- Differential graded contact geometry and Jacobi structures
- Graded contact manifolds and contact Courant algebroids
- Jacobi structures and Spencer operators
- Graded bundles and homogeneity structures
- Hamilton-Jacobi diffieties
- Kirillov structures up to homotopy
- Higher vector bundles and multi-graded symplectic manifolds
- Integrability of Poisson-Lie group actions
- Graded bundles in the category of Lie groupoids
- Vector bundles over Lie groupoids and algebroids
- Quantum and classical pseudogroups. I: Union pseudogroups and their quantization
- Quantum and classical pseudogroups. II: Differential and symplectic pseudogroups
- On extensions of principal bundles
- Coisotropic calculus and Poisson groupoids
- Les variétés de Jacobi et leurs algèbres de Lie associees
- On the integration of local Lie algebras and prequantization
- Jacobi groupoids and generalized Lie bialgebroids.
- Integrability of Lie brackets
- Generalized contact bundles
- Deformations of coisotropic submanifolds in Jacobi manifolds
- Modular classes of skew algebroid relations
- Integration of Lie bialgebroids
- Integrability of Jacobi and Poisson structures
- Jacobi structures revisited
- ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
- Contact structures on Lie algebroids
- LOCAL LIE ALGEBRAS
- The graded Jacobi algebras and (co)homology
- On integrability of infinitesimal actions
- Symplectic groupoids and Poisson manifolds
- Higher order mechanics on graded bundles
- Generalized Lie bialgebroids and Jacobi structures
- Linear duals of graded bundles and higher analogues of (Lie) algebroids