Corey Bregman

activity

20152026

most citedAutomorphisms and homology of non-positively curved cube complexes

4 citations · 11 across the 21 of their papers we have counts for

collaborators

23 papers

math.GT2026

The prime decomposition fibre sequence for moduli spaces of reducible 3-manifolds

Rachael Boyd, Corey Bregman, Jan Steinebrunner

We study the moduli space $B Diff^{+} (M)$ , for $M$ a reducible, oriented 3-manifold with irreducible prime factors $P_{1}, \dots, P_{n}$ . A programme of César de Sá-Rourke, Hendri…

math.GT2025

The embedding space of a Hopf link

Rachael Boyd, Corey Bregman

We study the unparametrised smooth embedding space of a Hopf link in $R^{3}$ , and prove that it is homotopy equivalent to the closed 3-manifold $S^{3} / Q_{8}$ . As an int…

math.GT2025

Extending families of homeomorphisms over 4-dimensional handlebodies

Rachael Boyd, Corey Bregman, Jan Steinebrunner

Let $H_{g}$ denote the 4-dimensional handlebody of genus $g$ and $U_{g}$ its boundary. We show that for all $g \geq 0$ the map from $B H o m eo (H_{g})$ to $B H o m eo (U_{g})$ induced by restricti…

math.GT2024

CAT(0) geometry of complex curve complements and families

Corey Bregman, Anatoly Libgober, Kejia Zhu

Motivated by the question of whether braid groups are CAT(0), we investigate the CAT(0) behavior of fundamental groups of plane curve complements and certain universal families. If…

math.GT2024

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…

math.GT2024★ 1 cited

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…