6 problems

Ribbon-knot symmetric-union conjecture. Every ribbon knot is a symmetric union.

Symmetric braid index conjecture. If $K$ is one of these eight SU knots, then

Ribbon–SU conjecture. Every ribbon knot is an SU knot.

A knot $K$ is a symmetric union if it is obtained from the connected sum $J\#-J$ of a knot $J$ with its mirror $-J$ by replacing trivial 4-tangles intersecting the symmetry axis wi…

Let $\mathcal{B}(R,S,T)$ be the ribbon-knot family considered in the paper, with parameters $R,S,T$. A ribbon is respected when a transformation to a symmetric union preserves that…

Let $\mathcal{A}(S,T)$ be the ribbon-knot family considered in the paper, with parameters $S,T$, and let 12n268 denote the specified knot in the determinant-$9$ table. A symmetric…