| Title | Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets |
| Publication Type | Preprint |
| 2015 | |
| Authors | Carlet, G, Casati, M, Shadrin, S |
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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