Duality and modular class of a Nambu-Poisson structure

Abstract

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.

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Cited by in corpus (3)

• Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
• A cohomology attached to a function
• Strongly r-matrix induced tensors, Koszul cohomology, and arbitrary-dimensional quadratic Poisson cohomology