  In this paper, we present a general construction of complexes on filtered
manifolds. In the particular case of regular subRiemannian manifolds, we show
that this yields the so-called Rumin complex when the manifold is also equipped
with a compatible Riemannian metric. Another instance is set on a nilpotent Lie
group equipped with a left invariant filtration; our scheme then computes the
Lie algebra cohomology.

Differential Geometry