2 papers
math.GT2025
Smoothly slice knots with Alexander polynomial 1 and high unknotting number
Lukas Lewark
We prove the existence of a smoothly doubly slice, amphicheiral knot with Alexander polynomial 1 and unknotting number 5.
math.GT2024
Khovanov homology and refined bounds for Gordian distances
Lukas Lewark, Laura Marino, Claudius Zibrowius
From Khovanov homology, we extract a new lower bound for the Gordian distance of knots, which combines and strengthens the previously existing bounds coming from Rasmussen invarian…