10 citations · 20 across the 15 of their papers we have counts for
6 papers · 1 filter
On a generalization of Cannon's conjecture for cubulated hyperbolic groups
Corey Bregman, Merlin Incerti-Medici
We show that cubulated hyperbolic groups with spherical boundary of dimension 3 or at least 5 are virtually fundamental groups of closed, orientable, aspherical manifolds, provided…
Hyperbolic projections and topological invariance of sublinearly Morse boundaries
Carolyn Abbott, Merlin Incerti-Medici
We show that the sublinearly Morse boundary of a CAT(0) cubical group with a factor system is well-defined up to homeomorphism with respect to the visual topology. The key tool use…
The normal growth exponent of a codimension-1 hypersurface of a negatively curved manifold
Corey Bregman, Merlin Incerti-Medici
Let be a Hadamard manifold with pinched negative curvature . Suppose is a totally geodesic, codimension-1 submanifold and consider the geodesic…
Contractibility of boundaries of cocompact convex sets and embeddings of limit sets
Corey Bregman, Merlin Incerti-Medici
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0)-space is contractible. We then use this to study when the limit set of a quas…
Sublinearly Morse boundaries from the viewpoint of combinatorics
Merlin Incerti-Medici, Abdul Zalloum
We prove that the sublinearly Morse boundary of every known cubulated group continuously injects in the Gromov boundary of a certain hyperbolic graph. We also show that for all CAT…
cube complexes are determined by their boundary cross ratio
Jonas Beyrer, Elia Fioravanti, Merlin Incerti-Medici
We introduce a -valued cross ratio on Roller boundaries of cube complexes. We motivate its relevance by showing that every cross-ratio preserving bijecti…