Freedman's conjecture on surgery for free groups

Let $M$ be a topological $4$-manifold, let ${\vee}^3 S^1$ denote the wedge of three circles, and let ${\mathcal S}^0(Wh(Bor))$ denote the zero-framed surgery on the Whitehead double of the Borromean rings. Freedman's conjecture. There does not exist a topological $4$-manifold $M$ homotopy equivalent to ${\vee}^3 S^1$ whose boundary is homeomorphic to ${\mathcal S}^0(Wh(Bor))$. This conjecture concerns the failure of topological surgery for free fundamental groups, in contrast with the known surgery results for simply connected and other good groups; its resolution is not specified in the supplied text.