The modular class of a Poisson map
classification
🧮 math.DG
math.SG
keywords
modularpoissonclassgroupoidbehaviorclassescohomologydifferent
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We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study the behavior of the modular class of a Poisson manifold under different kinds of reduction. We also discuss their symplectic groupoid version, which lives in groupoid cohomology.
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