AbstractThe modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investigate its significance in the theory of integrable systems. We illustrate in detail the case of the Toda lattice both in Flaschka and natural coordinates
20 pages, revised: several references to earlier papers on multi-component KdV equations are addedIn...
Let A be a Poisson Hopf algebra over an algebraically closed field of characteristic zero. If A is f...
The theory of multidimensional Poisson vertex algebras (mPVAs) provides a completely algebraic forma...
The modular vector field of a Poisson-Nijenhuis Lie algebroid A is defined and we prove that, in ca...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
Abstract: The modular vector field of a Poisson-Nijenhuis Lie algebroid A is defined and we prove th...
We study actions of the Grothendieck–Teichmüller group GRT on Poisson cohomologies of Poisson manifo...
The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Ham...
The BFV-formalism was introduced to handle classical systems, equipped with symmetries. It associate...
We introduce a natural non-degeneracy condition for Poisson structures, called holonomicity, which i...
Similar to the modular vector fields in Poisson geometry, modular derivations can be defined for smo...
We construct a two-dimensional topological sigma model whose target space is endowed with a Poisson ...
AbstractIn this letter we examine the interrelation between Noether symmetries, master symmetries an...
AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda syst...
AbstractWe study the singularities (blow-ups) of the Toda lattice associated with a real split semis...
20 pages, revised: several references to earlier papers on multi-component KdV equations are addedIn...
Let A be a Poisson Hopf algebra over an algebraically closed field of characteristic zero. If A is f...
The theory of multidimensional Poisson vertex algebras (mPVAs) provides a completely algebraic forma...
The modular vector field of a Poisson-Nijenhuis Lie algebroid A is defined and we prove that, in ca...
A hierarchy of vector fields (master symmetries) and homogeneous nonlinear Poisson structures associ...
Abstract: The modular vector field of a Poisson-Nijenhuis Lie algebroid A is defined and we prove th...
We study actions of the Grothendieck–Teichmüller group GRT on Poisson cohomologies of Poisson manifo...
The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Ham...
The BFV-formalism was introduced to handle classical systems, equipped with symmetries. It associate...
We introduce a natural non-degeneracy condition for Poisson structures, called holonomicity, which i...
Similar to the modular vector fields in Poisson geometry, modular derivations can be defined for smo...
We construct a two-dimensional topological sigma model whose target space is endowed with a Poisson ...
AbstractIn this letter we examine the interrelation between Noether symmetries, master symmetries an...
AbstractResults on the finite nonperiodic An Toda lattice are extended to the Bogoyavlesky Toda syst...
AbstractWe study the singularities (blow-ups) of the Toda lattice associated with a real split semis...
20 pages, revised: several references to earlier papers on multi-component KdV equations are addedIn...
Let A be a Poisson Hopf algebra over an algebraically closed field of characteristic zero. If A is f...
The theory of multidimensional Poisson vertex algebras (mPVAs) provides a completely algebraic forma...
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