On computational Poisson geometry. I: Symbolic foundations
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Publication:2076950
DOI10.3934/jgm.2021018OpenAlexW3195281602MaRDI QIDQ2076950
José Crispín Ruíz-Pantaleón, Pablo Suárez-Serrato, Miguel Ángel Evangelista-Alvarado
Publication date: 22 February 2022
Published in: Journal of Geometric Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.01746
Symbolic computation and algebraic computation (68W30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Software, source code, etc. for problems pertaining to differential geometry (53-04)
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- Poisson structures on wrinkled fibrations
- Codimension one symplectic foliations and regular Poisson structures
- The local structure of Poisson manifolds
- On the structure of infinitesimal automorphisms of linear Poisson manifolds. I
- Strongly \(r\)-matrix induced tensors, Koszul cohomology, and arbitrary-dimensional quadratic Poisson cohomology
- Poisson structures on smooth 4-manifolds
- Poisson geometry
- On quadratic Poisson structures
- Deformation theory and quantization. I: Deformations of symplectic structures
- Deformation theory and quantization. II: Physical applications
- Les variétés de Poisson et leurs algèbres de Lie associees
- The modular automorphism group of a Poisson manifold
- The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation
- Lie algebroids, holonomy and characteristic classes
- Gauge equivalence of Dirac structures and symplectic groupoids
- On computational Poisson geometry. II. Numerical methods
- Hamiltonian dynamical systems: symbolical, numerical and graphical study
- Poisson manifolds, Lie algebroids, modular classes: a survey
- Poisson structures and their normal forms
- Poisson Brackets with Prescribed Casimirs
- Lie-Poisson Structure on Some Poisson Lie Groups
- On Bott-Morse Foliations and their Poisson structures in dimension three
- Geometric Algebra Applications Vol. I
- On the computability of rotation sets and their entropies
- Vanishing of l2‐cohomology as a computational problem
- Deformations of Poisson structures on fibered manifolds and adiabatic slow–fast systems
- A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator
- Symbolic test of the Jacobi identity for given generalized `Poisson' bracket