The bi-Hamiltonian cohomology of a scalar Poisson pencil
| Authors | |
|---|---|
| Publication date | 2016 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | Issue number | 48 | 4 |
| Pages (from-to) | 617-627 |
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| Abstract |
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 Korteweg-de Vries case, we obtain that BHpd(F^,d1,d2) is isomorphic to R for (p,d)=(0,0), to C∞(R) for (p,d)=(1,1), (2,1), (2,3), (3,3), and vanishes otherwise. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1112/blms/bdw017 |
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