The modular class of a twisted Poisson structure
arXiv:math/0505663
Abstract
We study the geometric and algebraic properties of the twisted Poisson structures on Lie algebroids, leading to a definition of their modular class and to an explicit determination of a representative of the modular class, in particular in the case of a twisted Poisson manifold.
one reference added, new Section 6.4, orientability assumption deleted, misprints corrected