In this paper we introduce cohomology and homology theories for Nambu-Poisson
manifolds. Also we study the relation between the existence of a duality for
these theories and the vanishing of a particular Nambu-Poisson cohomology
class, the modular class. The case of a regular Nambu-Poisson structure and
some singular examples are discussed.
@article{0004065,
author = {Ibanez, R. and de Leon, M. and Lopez, B. and Marrero, J. C. and Padron, E.},
title = {Duality and modular class of a Nambu-Poisson structure},
journal = {arXiv},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/0004065}
}
Ibanez, R.; de Leon, M.; Lopez, B.; Marrero, J. C.; Padron, E. Duality and modular class of a Nambu-Poisson structure. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0004065/