6 problems

Park–Seo's conjecture. If $D$ is an adequate diagram of $L$, then

Adequacy–span conjecture. A non-split link is adequate if and only if

Rozansky's conjecture. If a diagram $D$ is not $A$-adequate, then $H^{\infty}(D)$ is trivial.

Let $L$ be a framed link, and let $J_{\thicksim}(L)$ denote the two-variable Laurent series associated with $L$ in the source. A framed link is B-adequate if it has the relevant B-…

Let $D$ be a link diagram. For each $N$, let $\widetilde{\mathrm{H}}^{\mathrm{Kh}}(\xDclv{N})$ be its shifted Khovanov homology, and let … be the direct limit of the degree-preserv…

Let $D$ be a link diagram, and suppose its tail homology is defined as the direct limit of the system constructed in the paper. A diagram is B-inadequate when it does not satisfy B…