The author describes the moduli space of Sullivan models of 2-skeletal spaces and complements of links as quotients of spaces of derivations of finitely generated free Lie algebras \(L\) by the action of a subgroup of automorphisms of \(L\). For recall, a 2-skeletal space is a path connected space \(S\) satisfying \(H^{\geq 3} (S;\mathbb{Q}) = 0\) and \(\dim H^* (S, \mathbb{Q}) < \infty\). The paper contains as an application a complete description of the Lie algebras associated to the fundamental groups of complements of two-component links in terms of their Milnor numbers.
For the entire collection see [Zbl 0777.00026].