Combinatorial cusp count and clover invariants

Sebastian Baader, Masaharu Ishikawa

Published 2024-04-18Version 1

We construct efficient topological cobordisms between torus links and large connected sums of trefoil knots. As an application, we show that the signature invariant $\sigma_\omega$ at $\omega=\zeta_6$ takes essentially minimal values on torus links among all concordance homomorphisms with the same normalisation on the trefoil knot.