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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…
math.GT2024★ 1 cited
The second coefficient of the Alexander polynomial as a satellite obstruction
Lukas Lewark
A set L of links is introduced, containing positive braid links as well as arborescent positive Hopf plumbings. It is shown that for links in P, the leading and the second coeffici…
math.GT2024
A new concordance homomorphism from Khovanov homology
Lukas Lewark
The universal Khovanov chain complex of a knot modulo an appropriate equivalence relation is shown to yield a homomorphism on the smooth concordance group, which is strictly strong…