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Poisson manifolds, Lie algebroids, modular classes: a survey. (English) Zbl 1147.53067
From the author’s summary: “After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of Poisson-Nijenhuis manifolds. A review of the spinor approach to the modular class concludes the paper.”
##### MSC:
 53D17 Poisson manifolds; Poisson groupoids and algebroids 58H05 Pseudogroups and differentiable groupoids on manifolds