160 citations · 1.4k across the 97 of their papers we have counts for
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Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets
Guido Carlet, Matteo Casati, Sergey Shadrin
We compute the Poisson cohomology of a scalar Poisson bracket of Dubrovin-Novikov type with independent variables. We find that the second and third cohomology groups are gener…
The bi-Hamiltonian cohomology of a scalar Poisson pencil
Guido Carlet, Hessel Posthuma, Sergey Shadrin
We compute the bi-Hamiltonian cohomology of an arbitrary dispersionless Poisson pencil in a single dependent variable using a spectral sequence method. As in the KdV case, we obtai…
Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed
Guido Carlet, Hessel Posthuma, Sergey Shadrin
We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dis…