  To any graph with external half-edges and internal masses, we associate
canonical integrals which depend non-trivially on particle masses and momenta,
and are always finite. They are generalised Feynman integrals which satisfy
graphical relations obtained from contracting edges in graphs, and a coproduct
involving both ultra-violet and infra-red subgraphs. Their integrands are
defined by evaluating bi-invariant forms which represent stable classes in the
cohomology of the general linear group on a generalised graph Laplacian matrix
which depends on the external kinematics of a graph.
