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 |
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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. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.4310/jdg/1513998030
(Final published version)
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