Rachael Boyd

collaborators

3 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 CÃ©sar de SÃ¡-Rourke, Hend…

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…