4 papers
Cusped spaces and quasi-isometries of relatively hyperbolic groups
Brendan Burns Healy, G. Christopher Hruska
A group with a family of subgroups is relatively hyperbolic if admits a cusp-uniform action on a proper --hyperbolic space. We show that any two such spaces…
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…
Commensurability invariants for nonuniform tree lattices
Benson Farb, G. Christopher Hruska
We study nonuniform lattices in the automorphism group G of a locally finite simplicial tree X. In particular, we are interested in classifying lattices up to commensurability in G…
Geometric invariants of spaces with isolated flats
G. Christopher Hruska
We study those groups that act properly discontinuously, cocompactly, and isometrically on CAT(0) spaces with isolated flats and the Relative Fellow Traveller Property. The groups…