The generalized Milnor invariant generation conjecture for link-map cohomology

Let $m$ be a positive integer and let $d>3$. Consider the space of link maps

$$\operatorname{Link}\left(\coprod_{i=1}^m \mathbb{R},\mathbb{R}^d\right).$$

A product of Milnor invariants of type $n$ gives, via configuration-space integrals, a generalized Milnor invariant, namely a nontrivial cohomology class of degree $n(d-3)$. Generalized Milnor invariant generation conjecture. All of the cohomology of the space of link maps comes from integrals corresponding to products of Milnor invariants.

This conjecture proposes that generalized Milnor invariants account for the entire cohomology of link-map spaces in dimensions greater than three. The source presents it as a loose formulation and gives no resolution.