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 $\hat{I}¦\in \mathrm{Out}(F)$ have polynomial growth. Let $G=F{⋊}_{\hat{I}}¦\mathbb{Z}$. We give sufficient conditions on $\hat{I}¦$ that ensure $G$ acts…