%0 Journal Article
%T Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
%A Guido Carlet
%A Hessel Posthuma
%A Sergey Shadrin
%J Physics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1501.04295v2