6 problems

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

Positive stable crossing growth conjecture.

Eventual linearity conjecture. For sufficiently large $n$,

Stable crossing number conjecture. The stable crossing number exists and

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…