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 -