A note on connections of a $ L_\infty $ algebroid on a complex of vector bundles.
Presenting author: Raquel Caseiro
$ L_\infty $ algebroids consist of a family of graded vector bundles whose space of sections is a $ L_\infty$ algebra, together with a vector bundle morphism from the bundle of highest degree to the tangent bundle of the base manifold.
We look at representations of $ L_\infty $ algebroids from the point of view of differential graded manifolds and natural connections associated to it.