25 citations · 61 across the 22 of their papers we have counts for
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Positive braid knots of maximal topological 4-genus
Livio Liechti
We show that a positive braid knot has maximal topological 4-genus exactly if it has maximal signature invariant. As an application, we determine all positive braid knots with maxi…
On the topological 4-genus of torus knots
Sebastian Baader, Peter Feller, Lukas Lewark +1
We prove that the topological locally flat slice genus of large torus knots takes up less than three quarters of the ordinary genus. As an application, we derive the best possible…
On Coxeter mapping classes and fibered alternating links
Eriko Hironaka, Livio Liechti
Alternating-sign Hopf plumbing along a tree yields fibered alternating links whose homological monodromy is, up to a sign, conjugate to some alternating-sign Coxeter transformation…
Signature and concordance of positive knots
Sebastian Baader, Pierre Dehornoy, Livio Liechti
We derive a linear estimate of the signature of positive knots, in terms of their genus. As an application, we show that every knot concordance class contains at most finitely many…