The right-angled Artin group conjecture for pure flat braid groups

Let $\mathrm{PFB}_n$ denote the pure flat braid group on $n$ strands. Pure flat braid group conjecture. For every $n \geq 3$, $\mathrm{PFB}_n$ is a right-angled Artin group. This conjecture is false; the paper therefore turns to the related question of the extent to which a pure flat braid group resembles a right-angled Artin group.