Bihamiltonian cohomology of KdV brackets
classification
🧮 math.DG
math-phmath.MPnlin.SI
keywords
cohomologybihamiltonianbracketsgroupscomputeconjecturedispersionlesshierarchy
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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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