Poisson cohomology of scalar multidimensional Dubrovin–Novikov brackets
| Authors |
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| Publication date | 2017 |
| Journal | Journal of Geometry and Physics |
| Volume | Issue number | 114 |
| Pages (from-to) | 404-419 |
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| 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
(Final published version)
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