If $K$ is a figure eight knot how can I realize $S^3-K$ as a Dehn filling on a genus $g$ handle-body?
I had the simplistic thought that a genus 5 handle-body and a (5,1) Dehn filling would do the trick but the more I study low dimensional topology the more I realize how little I know.
EDIT: Funny story. I think I did it correct now based on the documentation I found here on page 7. 'M7' from that document is how I presented the figure 8 knot complement.