4 citations · 5 across the 4 of their papers we have counts for
4 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…
Moduli spaces of 3-manifolds with boundary are finite
Rachael Boyd, Corey Bregman, Jan Steinebrunner
We study the classifying space B Diff(M) of the diffeomorphism group of a connected, compact, orientable 3-manifold M. In the case that M is reducible we build a contractible space…
On Kahler extensions of abelian groups
Corey Bregman, Letao Zhang
We show that any Kahler extension of a finitely generated abelian group by a surface group of genus g at least 2 is virtually a product. Conversely, we prove that any homomorphism…
Automorphisms and homology of non-positively curved cube complexes
Corey Bregman
We define an integer-valued invariant of special cube complexes called the genus, and prove that having genus one characterizes special cube complexes with abelian fundamental grou…