Integrable hierarchies and the modular class
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Publication:2482856
DOI10.5802/aif.2346zbMath1147.53065arXivmath/0607784OpenAlexW1771478614MaRDI QIDQ2482856
Rui Loja Fernandes, Pantelis A. Damianou
Publication date: 24 April 2008
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0607784
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17)
Related Items (10)
Modular classes of Poisson-Nijenhuis Lie algebroids ⋮ Modular classes revisited ⋮ Dirac structures and Nijenhuis operators ⋮ Intrinsic characteristic classes of a local Lie group ⋮ Reduction and realization in Toda and Volterra ⋮ Dispersionless (3+1)-dimensional integrable hierarchies ⋮ Morita invariance of intrinsic characteristic classes of Lie algebroids ⋮ Compatible structures on Lie algebroids and Monge-Ampère operators ⋮ Characteristic classes of Lie algebroid morphisms ⋮ Quantization of Poisson manifolds from the integrability of the modular function
Cites Work
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- Homology and modular classes of Lie algebroids.
- Poisson brackets on rational functions and multi-Hamiltonian structure for integrable lattices
- On quadratic Poisson structures
- Les variétés de Poisson et leurs algèbres de Lie associees
- Lectures on the geometry of Poisson manifolds
- The modular automorphism group of a Poisson manifold
- Connections in Poisson geometry. I: Holonomy and invariants.
- Compatible Poisson brackets on Lie algebras
- Lie algebroids, holonomy and characteristic classes
- Geometrical interpretation of Benenti systems
- Master integrals, superintegrability and quadratic algebras
- The modular hierarchy of the Toda lattice
- Relative modular classes of Lie algebroids
- Poisson structures and their normal forms
- POISSON STRUCTURES: TOWARDS A CLASSIFICATION
- On the master symmetries and bi-Hamiltonian structure of the Toda lattice
- The Toda lattice. II. Existence of integrals
- Superintegrability of the Calogero–Moser system: Constants of motion, master symmetries, and time-dependent symmetries
- On the bi-Hamiltonian structure of Bogoyavlensky–Toda lattices
- MULTIPLE HAMILTONIAN STRUCTURE OF BOGOYAVLENSKY–TODA LATTICES
- Transverse measures, the modular class and a cohomology pairing for Lie algebroids
- Toda systems and exponents of simple Lie groups
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