4 papers · 1 filter
From cut sets to cube complexes
Matthew Haulmark, Jason Fox Manning
In this paper, we obtain an action on a cube complex from an action on a path-connected topological space with a system of divisions. In the settings of hyperbolic groups or relati…
Minimal Volume Entropy of RAAG's
Matthew Haulmark, Kevin Schreve
Bregman and Clay recently characterized which right-angled Artin groups with geometric dimension 2 have vanishing minimal volume entropy. In this note, we extend this characterizat…
Piecewise Visual, Linearly Connected Metrics on Boundaries of Relatively Hyperbolic Groups
Matthew Haulmark, Michael L. Mihalik
Suppose a finitely generated group is hyperbolic relative to a set of proper finitely generated subgroups of . Established results in the literature imply that…
Nonhyperbolic Coxeter groups with Menger curve boundary (with erratum)
Matthew Haulmark, G. Christopher Hruska, Bakul Sathaye
A generic finite presentation defines a word hyperbolic group whose boundary is homeomorphic to the Menger curve. In this article, we produce the first known examples of non-hyperb…