Central invariants revisited

Open Access
Authors
Publication date 2018
Journal Journal de l'Ecole Polytechnique - Mathematiques
Volume | Issue number 5
Pages (from-to) 149-175
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We use refined spectral sequence arguments to calculate known and previously unknown bi-Hamiltonian cohomology groups, which govern the deformation theory of semisimple bi-Hamiltonian pencils of hydrodynamic type with one independent and N dependent variables. In particular, we rederive the result of Dubrovin-Liu-Zhang that these deformations are parametrized by the so-called central invariants, which are N smooth functions of one variable.
Document type Article
Language English
Published at https://doi.org/10.5802/jep.66
Other links https://www.scopus.com/pages/publications/85049446382
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