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arXiv · 1103.4305

The modular class of a Poisson map

Raquel Caseiro·Rui Loja Fernandes
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Abstract

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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Raquel Caseiro, Rui Loja Fernandes. 2012-08-03. The modular class of a Poisson map. https://arxiv.org/abs/1103.4305

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