3 problems

Let $K$ be a knot, and let $W_0(K)$ denote its zero-twisted Whitehead double. Smooth-sliceness conjecture for zero-twisted Whitehead doubles. The knot $K$ is smoothly slice if and…

Let $K$ be a knot in $S^3$, and let its Whitehead double be the knot obtained by applying the Whitehead double operation to $K$. Whitehead double sliceness conjecture. The Whitehea…

Let $K$ be a knot, and let $D_1$ and $D_2$ be slice disks for $K$ in $B^4$. Their positive Whitehead doubles are the slice disks obtained by applying the positive Whitehead satelli…