7 problems

Positive stable braid index conjecture. If $\{K_n\}$ is non-coherent, then

Stable braid index conjecture. The stable braid index is

Positive stable crossing growth conjecture.

Stable crossing number conjecture. The stable crossing number exists and

Stable crossing growth conjecture. The crossing number grows like

Let $\{(K_n,r_n)\}$ be a twist family of surgeries, where $r_n$ is the corresponding surgery slope on $K_n$. Twist-family surgery finiteness conjecture. For every integer $N\geq 0$…

Let $\{K_n\}$ be a twist family of knots, obtained by twisting along a fixed unknot disjoint from the initial knot, and let $g(K_n)$ denote the genus of $K_n$. Twist-family finiten…