11 citations · 20 across the 5 of their papers we have counts for
4 papers · 1 filter
Étude on the Delta-unknotting number
Sebastian Baader, Lukas Lewark
We derive an almost sharp lower bound on the Casson invariant of positive braid knots. As a consequence, we show that the -unknotting number is quasi-additive on the set of posi…
Bouquets of curves in surfaces
Sebastian Baader, Peter Feller, Levi Ryffel
We characterise when a set of simple closed curves in an orientable surface forms a bouquet, in terms of relations between the corresponding Dehn twists.
Untwisting 3-strand torus knots
Sebastian Baader, Ian Banfield, Lukas Lewark
We prove that the signature bound for the topological 4-genus of 3-strand torus knots is sharp, using McCoy's twisting method. We also show that the bound is off by at most 1 for 4…
Average four-genus of two-bridge knots
Sebastian Baader, Alexandra Kjuchukova, Lukas Lewark +2
We prove that the expected value of the ratio between the smooth four-genus and the Seifert genus of two-bridge knots tends to zero as the crossing number tends to infinity.