3 problems

Let $C_0$ and $C_1$ be positive real constants such that the linear slice $\mathcal L_c(\Sigma_{1,1})$ is connected for every $0<c<C_0$, while it is not connected for every $c>C_1$…

Let $\Sigma$ be a hyperbolizable surface with pants decomposition $\mathcal {PC}$, and let $c_1,c_2\in\mathbb{R}_+$ be positive. Denote by $BM_c$ the Bers--Maskit slice associated…

No self-bumping conjecture. Self-bumping cannot happen for geometrically infinite b-groups all of whose $\mathbb{Z}$-cusps touch geometrically infinite ends.