H-twisted Lie algebroids
arXiv:1005.5680 · doi:10.1016/j.geomphys.2010.10.016
Abstract
We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi identity twisted by a 3-form with values in the kernel of the anchor map, and the twist is closed under a naturally occurring exterior covariant derivative. We give examples and define three kinds of cohomology two via realization as Q-structure on graded manifolds. This classifies PQ3-manifolds.
18 pages, improvements due to the referee, to appear in Journal of Geometry and Physics