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Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
Preprint
2015-01-18
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Abstract
We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dispersive deformation of a semisimple bihamiltonian structure of hydrodynamic type starting from any infinitesimal deformation.