Dehn filling Dehn twists

François Dahmani, Mark Hagen, Alessandro Sisto

Let ${\Sigma }_{g,p}$ be the genus--$g$ oriented surface with $p$ punctures, with either $g>0$ or $p>3$. We show that $MCG({\Sigma }_{g,p})/DT$ is acylindrically hyperbolic where $DT$ is the norma…