2 problems

Brown's index-realization conjecture. Every integer $p$ can appear as the index of some iteration in the formula

Let $\mathcal{D}$ and $\tilde{\mathcal{D}}$ be disk configurations in $\mathbb{C}$ realizing the same incidence data. Let $\phi:\partial\mathcal{D}\to\partial\tilde{\mathcal{D}}$ b…