Modular classes revisited
Differential Geometry
2017-01-17 v2 Mathematical Physics
math.MP
Abstract
We present a graded-geometric approach to modular classes of Lie algebroids and their generalizations, introducing in this setting an idea of relative modular class of a Dirac structure for a certain type of Courant algebroids, called projectable. This novel approach puts several concepts related to Poisson geometry and its generalizations in a new light and simplifies proofs. It gives, in particular, a nice geometric interpretation of modular classes of twisted-Poisson structures on Lie algebroids.
Cite
@article{arxiv.1311.3962,
title = {Modular classes revisited},
author = {Janusz Grabowski},
journal= {arXiv preprint arXiv:1311.3962},
year = {2017}
}
Comments
10 pages, slightly revised version to appear in Int. J. Geom. Meth. Mod. Phys