Abstract
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.
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Communicated by N. Reshetikhin
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Carlet, G., Posthuma, H. & Shadrin, S. Bihamiltonian Cohomology of KdV Brackets. Commun. Math. Phys. 341, 805–819 (2016). https://doi.org/10.1007/s00220-015-2540-4
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DOI: https://doi.org/10.1007/s00220-015-2540-4