6 problems

Let $L$ be a non-split link. Write $c(L)$ for its crossing number, $g_T(L)$ for its Turaev genus, and $v_L(t)$ for its Jones polynomial. Qazaqzeh–Chbili–Lowrance conjecture. The li…

Arc-index–Turaev-genus conjecture.

Kauffman-polynomial span conjecture. The spans satisfy

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

Let $L$ be a non-split link of Turaev genus one. Write $Kh^{i,j}(L)$ for its Khovanov homology, let $j_{\min}(L)$ and $j_{\max}(L)$ denote the minimum and maximum quantum gradings…

Almost-alternating conjecture. All Turaev genus one links are almost alternating.