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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.GT2023
Computing the symmetric -homology
Laura Marino
The symmetric -homologies, introduced by Robert and Wagner, provide a categorification of the Reshetikhin--Turaev invariants corresponding to symmetric powers of t…