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 $g\ge 0$ the map from $BHomeo(H_g)$ to $BHomeo(U_g)$ induced by restricti…