Abstract
We give a geometric description of different classes of Poisson modules as introduced in [1]: we start with tensors tangent to leaves on a Poisson manifold, consider Poisson structures on bundles and also an example of Poisson module on a manifold which does not come from any vector bundle; finally we use this language to sketch some integral calculus on Poisson manifolds: we suggest how to introduce integration, homology and cohomology in our setting.
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Caressa, P. Examples of poisson modules, II. Rend. Circ. Mat. Palermo 53, 23–60 (2004). https://doi.org/10.1007/BF02921426
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DOI: https://doi.org/10.1007/BF02921426