M. Hagen

activity

20112026

most citedHierarchically hyperbolic spaces I: curve complexes for cubical groups

149 citations · 710 across the 38 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.GR2013★ 26 cited

Thickness, relative hyperbolicity, and randomness in Coxeter groups

Jason Behrstock, Mark F. Hagen, Alessandro Sisto +1

For right-angled Coxeter groups $W_{Γ}$ , we obtain a condition on $Γ$ that is necessary and sufficient to ensure that $W_{Γ}$ is thick and thus not relatively hyperbolic. We show that…

math.GR2013★ 34 cited

Cubulating hyperbolic free-by-cyclic groups: the irreducible case

Mark F. Hagen, Daniel T. Wise

Let $V$ be a finite graph and let $ϕ : V \to V$ be an irreducible train track map whose mapping torus has word-hyperbolic fundamental group $G$ . Then $G$ acts freely and cocom…

math.GT2013

Cocompactly cubulated graph manifolds

Mark F. Hagen, Piotr Przytycki

Let M be a graph manifold. We show that π_1M is the fundamental group of a compact nonpositively curved cube complex if and only if M is chargeless. We also prove that in that case…