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math.GT2026
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…
math.GT2026
The Conway knot has infinite concordance order
Chiara Donatone, Marc Kegel, Lukas Lewark +1
We examine how the Rasmussen invariant, satellite operations, and null-homologous twists can be used to establish infinite order of knots in the smooth concordance group. As an app…
math.GT2026
Signs of knot polynomial evaluations from a topological perspective
Luana Jost, Lukas Lewark
We prove that for knots, the evaluation of the Jones polynomial at the sixth root of unity, as well as the evaluation of the -polynomial at the reciprocal of the golden ratio, a…