4 problems

Let $K$ be an achiral knot, and let $C(z)$ denote its Conway polynomial. Kawauchi's conjecture. The polynomial $C(z)$ has the splitting property: there is a polynomial $F(z)$ with…

Alternating quadrisecant approximation conjecture. Such sequences exist for every $\varepsilon>0$. The conjecture would connect the existence of alternating quadrisecants with insc…

Let $K$ be an amphicheiral knot, and let $C_K(z)$ denote its Conway polynomial. Conant's integral splitting conjecture. For some $\phi\in\mathbb Z[z]$, one has … The conjecture str…

Conway coefficient sign conjecture. The conclusion of the two-component obstruction holds whenever $L\in\mathcal{P}_0$: in general, the sign $(-1)^k$ is replaced by $(-1)^{s(k,m)}$…