We compute Nambu–Poisson cohomology for Nambu–Poisson tensors of order three which are deﬁned on ℝ4. In particular, we prove that Nambu–Poisson cohomology of exact Nambu–Poisson tensors is equivalent to relative cohomology.
Cite this article
Nobutada Nakanishi, Computations of Nambu–Poisson Cohomologies: Case of Nambu–Poisson Tensors of Order 3 on ℝ<sup>4</sup>. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 323–359DOI 10.2977/PRIMS/1166642104