Central invariants revisited

DOI10.5802/jep.66zbMath1497.37086arXiv1611.09134OpenAlexW2558704753MaRDI QIDQ4559759

Reinier Kramer, Guido Carlet, Sergey Shadrin

Publication date: 4 December 2018

Published in: Journal de l’École polytechnique — Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09134

zbMATH Keywords

central invariantsbi-Hamiltonian cohomologydeformations of bi-Hamiltonian structuresPoisson structures of hydrodynamic type

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Jets in global analysis (58A20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

Related Items (max. 100)

Towards a bihamiltonian structure for the double ramification hierarchy ⋮ Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy ⋮ Poisson pencils: reduction, exactness, and invariants ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations ⋮ Projective-geometric aspects of bi-Hamiltonian structures of KdV type ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations ⋮ Normal forms of dispersive scalar Poisson brackets with two independent variables

Cites Work

• Bihamiltonian cohomologies and integrable hierarchies. I: A special case
• Deformations of semisimple bihamiltonian structures of hydrodynamic type
• On deformation of Poisson manifolds of hydrodynamic type
• On the moduli space of deformations of bi-Hamiltonian hierarchies of hydrodynamic type
• Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
• A Darboux theorem for Hamiltonian operators in the formal calculus of variations.
• Deformations of bi-Hamiltonian structures of hydrodynamic type
• Bihamiltonian cohomology of KdV brackets
• Compatible Poisson brackets of hydrodynamic type
• Deformations of non-semisimple Poisson pencils of hydrodynamic type
• The bi-Hamiltonian cohomology of a scalar Poisson pencil
• A simple model of the integrable Hamiltonian equation
• Deformations of the Bihamiltonian Structures on the Loop Space of Frobenius Manifolds
• On Hamiltonian perturbations of hyperbolic systems of conservation laws I: Quasi‐Triviality of bi‐Hamiltonian perturbations

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