Deformations of semisimple poisson pencils of hydrodynamic type are unobstructed

Authors
Publication date 2018
Journal Journal of Differential Geometry
Volume | Issue number 108 | 1
Pages (from-to) 63-89
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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.
Document type Article
Language English
Published at https://doi.org/10.4310/jdg/1513998030
Other links https://www.scopus.com/pages/publications/85041827672
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