3 problems

Rigidity conjecture. All $MW$-knots of degree $d$ are rigidly isotopic to $T_{\operatorname{proj}}(d,d-2)$.

Let $K$ be an algebraic knot in $\mathbb{RP}^3$ of degree $d$, let $N_d=(d-1)(d-2)/2$, and let $T_{\mathrm{proj}}(d,d-2)$ denote the quotient of the $(d,d-2)$-torus link in…

Let $K$ be a smooth, irreducible real algebraic curve in $\mathbb P^3$ of degree $d\geq 3$, let $N_d=(d-1)(d-2)/2$, and suppose $K$ is an $MW$-curve with $w(K)=N_d$. The projective…