@article {2015,
	title = {Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets},
	year = {2015},
	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.},
	author = {Guido Carlet and Matteo Casati and Sergey Shadrin}
}
