Duality and modular class of a Nambu-Poisson structure
辛几何
2009-10-31 v1 数学物理
math.MP
摘要
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.
引用
@article{arxiv.math/0004065,
title = {Duality and modular class of a Nambu-Poisson structure},
author = {R. Ibanez and M. de Leon and B. Lopez and J. C. Marrero and E. Padron},
journal= {arXiv preprint arXiv:math/0004065},
year = {2009}
}