Bihamiltonian cohomology of KdV brackets
  Using spectral sequences techniques we compute the bihamiltonian cohomology groups of the pencil of Poisson brackets of dispersionless KdV hierarchy. In particular this proves a conjecture of Liu and Zhang about the vanishing of such cohomology groups. 
Guido Carlet, Hessel Posthuma, Sergey Shadrin
math.DG math-ph math.MP nlin.SI