3 problems

Lorenz satellite conjecture. A Lorenz knot that is a satellite has companion a Lorenz knot. Its pattern, when embedded in an unknotted solid torus in $S^3$, is equivalent to a Lore…

Let $K$ be a Lorenz knot that is a satellite knot. Then the satellite Lorenz knot conjecture. $K$ is a satellite of a torus knot lying on a Lorenz knot, according to the cabling pa…

Let $b$ and $b'$ be Birman–Williams braids associated with two isotopic periodic orbits of the Lorenz flow. If $t$ is the common period of these orbits, then the Birman–Williams br…