Computations of Nambu–Poisson Cohomologies: Case of Nambu–Poisson Tensors of Order 3 on $\mathbb R^4$

Nobutada Nakanishi

doi:10.2977/prims/1166642104

JournalsprimsVol. 42, No. 2pp. 323–359

Computations of Nambu–Poisson Cohomologies: Case of Nambu–Poisson Tensors of Order 3 on $R^{4}$

Nobutada Nakanishi
Gifu Keizai University, Ogaki-Shi, Japan

$Computations of Nambu–Poisson Cohomologies: Case of Nambu–Poisson Tensors of Order 3 on $\mathbb R^4$ cover$

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Abstract

We compute Nambu–Poisson cohomology for Nambu–Poisson tensors of order three which are deﬁned on $R^{4}$ . 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 $R^{4}$ . Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 323–359

DOI 10.2977/PRIMS/1166642104