5 problems

Let $K$ be a periodic L-space knot with quotient knot $\overline{K}$. Quotient L-space knot conjecture. $\overline{K}$ is an L-space knot. The claim concerns how the L-space-knot p…

Let $K$ be a periodic or freely periodic L-space knot. Iterated torus knot conjecture. $K$ is an iterated torus knot. The paper presents this as a conjecture motivated by computati…

Let $K\subset S^3$ be an alternating periodic knot, meaning that $K$ admits a finite-order symmetry of the pair $(S^3,K)$ with nonempty fixed-point set disjoint from $K$. The quoti…

Filtered rank inequality conjecture. One has

Crossing-number divisibility conjecture. The prime $q$ divides $c$.