2 problems

Configuration-space homology kernel conjecture. The kernel of the action of $\Gamma$ on $H_i(F_n(\mathring{\mathcal{M}}))$ is the subgroup of $\Gamma$ generated by $\mathcal{J}(i)$…

Let $F_n$ be the free group of rank $n$, and let $J^s_n$ be the $s$-th term of the Andreadakis–Johnson filtration on $\operatorname{Aut}(F_n)$. Cohen–Heap–Pettet conjecture. If…