4 problems

A minimal prime algebraic free knot diagram is a minimal free knot diagram representing a prime knot and arising from an algebraic tangle. A free $2n$ knot is the family considered…

Let $n$ be odd with $n\geq 3$. A minimal prime free knot diagram is a minimal free knot diagram representing a prime knot, and a trefoil descendant is a resultant trefoil obtained…

Let a free $2m$ diagram denote the free closure of the $2m$-tangle referred to in the source. A free diagram with $m$ crossings is considered sufficiently complicated as in the sou…

Given a knot $K$ in the 3-sphere, let … where $\mu$ is a chosen meridian and … For a trefoil $T$, its representation variety is $\mathscr{R}(T,\mathbf{i})\cong\{*\}\sqcup S^1$, wit…