Determining the doubly slice genera of prime knots with up to 12 crossings

Lucia P. Karageorghis, Frank Swenton

For a knot $K$, the doubly slice genus $g_{ds}(K)$ is the minimal $g$ such that $K$ divides a closed, orientable, and unknotted surface of genus $g$ embedded in $S^4$. In this pape…