8 problems

Let $b$ be an integer, and consider quasi-alternating links whose Jones polynomial has breadth $b$, where the breadth is the difference between the highest and lowest exponents occ…

No-gap conjecture. If $L$ is a prime quasi-alternating link that is not a $(2,n)$-torus link, then the differential grading of $\mathcal{H}(L)$ has no gap.

Chbili–Qazaqzeh's conjecture. The coefficients satisfy

Let $L$ be a link whose Jones polynomial is written as … where $m\geq 0$, $a_0\neq 0$, and $a_m\neq 0$. Chbili–Qazaqzeh conjecture. If $L$ is a prime quasi-alternating link, other…

Let $L$ be a quasi-alternating link, and let $c(L)$ denote its crossing number and $\det(L)$ its determinant. Qazaqzeh–Qublan–Jaradat conjecture. Every quasi-alternating link $L$ s…

Breadth–determinant conjecture. If $L$ is a quasi-alternating link, then

A Montesinos link is a link of the form $M(e;t_1,\dots,t_p)$, with the parameters and notation as in Theorem 5.3 and Theorem 5.1 of the source. Qazaqzeh–Chbili–Qublan's conjecture.…

A quasi-alternating link is a link in the class referred to as quasi-alternating in the source, and $\det(L)$ denotes its determinant. Greene's conjecture. There exist only finitel…