The modular class of a Poisson map
  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. 
Raquel Caseiro, Rui Loja Fernandes
math.DG math.SG