| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5500097 | Journal of Geometry and Physics | 2017 | 24 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Guido Carlet, Matteo Casati, Sergey Shadrin,