Carlet, Guido, Casati, Matteo, Shadrin, Sergey (2017) Poisson cohomology of scalar multidimensional Dubrovin–Novikov brackets. Journal of Geometry and Physics, 114 . pp. 404-419. ISSN 0393-0440. (doi:10.1016/j.geomphys.2016.12.008) (KAR id:67927)
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| Official URL: https://dx.doi.org/10.1016/j.geomphys.2016.12.008 |
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Abstract
We compute the Poisson cohomology of a scalar Poisson bracket of Dubrovin-Novikov type with D independent variables. We find that the second and third cohomology groups are generically nonvanishing in D > 1. Hence, in contrast with the D = 1 case, the deformation theory in the multivariable case is non-trivial.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.geomphys.2016.12.008 |
| Uncontrolled keywords: | Poisson cohomology; poisson brackets of hydrodynamic type; deformations of poisson structure |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA440 Geometry |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Matteo Casati |
| Date Deposited: | 28 Feb 2019 12:00 UTC |
| Last Modified: | 20 May 2025 11:39 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/67927 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Casati, Matteo.
| Creator's ORCID: |
 https://orcid.org/0000-0002-2207-4807
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