Cubulating mapping tori of some polynomial growth free group automorphisms

Mark Hagen, Daniel T Wise

Let $F$ be a finite-rank free group and let $\Phi \in \mathrm{Out}(F)$ have polynomial growth. Let $G=F{⋊}_{\Phi }\mathbb{Z}$. We give sufficient conditions on $\Phi$ that ensure $G$ acts fr…