53 citations · 177 across the 27 of their papers we have counts for
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math.GT2019★ 6 cited
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…
math.GT2019★ 7 cited
Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space
Peter Feller, Lukas Lewark
We provide three 3-dimensional characterizations of the Z-slice genus of a knot, the minimal genus of a locally-flat surface in 4-space cobounding the knot whose complement has cyc…
math.GT2019★ 11 cited
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.