TY - RPRT T1 - Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets Y1 - 2015 A1 - Guido Carlet A1 - Matteo Casati A1 - Sergey Shadrin AB - 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. U1 - 35389 U2 - Mathematics U4 - 1 U5 - MAT/03 ER -