%0 Report
%D 2015
%T Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets
%A Guido Carlet
%A Matteo Casati
%A Sergey Shadrin
%X 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.
%G en
%1 35389
%2 Mathematics
%4 1
%# MAT/03