11 citations · 20 across the 5 of their papers we have counts for
5 papers
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.
Multiple addition, deletion and restriction theorems for hyperplane arrangements
Takuro Abe, Hiroaki Terao
In the study of free arrangements, the most useful result to construct/check free arrangements is the addition-deletion theorem. Recently, the multiple version of the addition theo…