Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed

DOI10.4310/jdg/1513998030zbMath1387.53105arXiv1501.04295OpenAlexW1531326078WikidataQ115165863 ScholiaQ115165863MaRDI QIDQ1700313

Guido Carlet, Hessel Posthuma, Sergey Shadrin

Publication date: 5 March 2018

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.04295

zbMATH Keywords

Poisson bracketMiura transformationscohomology group

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (12)

Towards a bihamiltonian structure for the double ramification hierarchy ⋮ The bi-Hamiltonian cohomology of a scalar Poisson pencil ⋮ Central invariants revisited ⋮ Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. III: Linear reciprocal transformations ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Variational bihamiltonian cohomologies and integrable hierarchies. I: Foundations ⋮ Bi-Hamiltonian structures of KdV type ⋮ Central invariants of the constrained KP hierarchies ⋮ Super tau-covers of bihamiltonian integrable hierarchies ⋮ Flat F-manifolds, F-CohFTs, and integrable hierarchies ⋮ Normal forms of dispersive scalar Poisson brackets with two independent variables

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