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

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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…