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Poisson cohomology of scalar multidimensional Dubrovin-Novikov brackets
- Source :
- J. Geom. Phys. 114 (2017), 404-419
- Publication Year :
- 2015
-
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 non-vanishing in $D>1$. Hence, in contrast with the $D=1$ case, the deformation theory in the multivariable case is non-trivial.<br />Comment: 23 pages. Typos corrected, add explicit form of homotopy contraction operator
Details
- Database :
- arXiv
- Journal :
- J. Geom. Phys. 114 (2017), 404-419
- Publication Type :
- Report
- Accession number :
- edsarx.1512.05744
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.geomphys.2016.12.008