5 problems

Strong quasipositivity conjecture. A link $L$ is strongly quasipositive if and only if it is Bennequin-sharp.

Defect-zero characterization conjecture.

The branched-cover L-space conjecture. If some $\Sigma_n(L)$ is an L-space, then $L$ is simply laced arborescent. If $L=K$ is a knot, then $K$ is a $(2,k)$, $(3,4)$, or $(3,5)$ tor…

Let $(Y,\xi)$ be a contact $3$-manifold and let a transverse link in $(Y,\xi)$ be given. A Seifert surface for the link has a Morse-Smale characteristic foliation with positive sin…

Let $L$ be a non-splittable unoriented link in $S^3$. An orientation of $L$ is strongly quasipositive if the oriented link bounds a strongly quasipositive surface. Two-orientation…