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math.GT2024
Combinatorial cusp count and clover invariants
Sebastian Baader, Masaharu Ishikawa
We construct efficient topological cobordisms between torus links and large connected sums of trefoil knots. As an application, we show that the signature invariant at $Ï=…
math.GT2024
3-braid knots with maximal 4-genus
Sebastian Baader, Lukas Lewark, Filip Misev +1
We classify 3-braid knots whose topological 4-genus coincides with their Seifert genus, using McCoy's twisting method and the Xu normal form. In addition, we give upper bounds for…