Poisson cohomology of scalar multidimensional Dubrovin–Novikov brackets

Authors
Publication date 2017
Journal Journal of Geometry and Physics
Volume | Issue number 114
Pages (from-to) 404-419
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We compute the Poisson cohomology of a scalar Poisson bracket of Dubrovin–Novikov type with D independent variables. We find that the second and third cohomology groups are generically non-vanishing in D>1. Hence, in contrast with the D=1 case, the deformation theory in the multivariable case is non-trivial.
Document type Article
Language English
Published at https://doi.org/10.1016/j.geomphys.2016.12.008
Other links https://www.scopus.com/pages/publications/85009231369
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