Bihamiltonian cohomology of KdV brackets
Differential Geometry
2017-08-22 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1406.5595,
title = {Bihamiltonian cohomology of KdV brackets},
author = {Guido Carlet and Hessel Posthuma and Sergey Shadrin},
journal= {arXiv preprint arXiv:1406.5595},
year = {2017}
}
Comments
16 pages. v2: corrected typos, in particular formulas (28), (78)