Rachael Boyd

activity

20242026

most citedModuli spaces of 3-manifolds with boundary are finite

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.GT2026

A survey on mapping class groups of 3-manifolds

Philipp Bader, Rachael Boyd, Giulia Carfora +8

We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold $M$ . We provide a guide to the literature and sketch proofs for var…

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★ 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…