H-twisted Lie algebroids

Details H-twisted Lie algebroids H-twisted Lie algebroids

2010-05-31

arxiv.org/abs/1005.5680v4

Journ. of Geom. and Phys. 61 (2011), pp. 476-484

Mathematics

Differential Geometry

18 pages, improvements due to the referee, to appear in Journal of Geometry and Physics

Scientific paper

10.1016/j.geomphys.2010.10.016

We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi
identity twisted by a 3-form $H$ 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.

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