The modular class of a Poisson map

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.

Final version accepted for publication in Annales de l'Institut Fourier. Several changes made to the manuscript, based on referees' remarks

References in corpus (2)

• Lectures on Integrability of Lie Brackets
• The Symplectization Functor

Cited by in corpus (1)

• Modular classes of skew algebroid relations