Combinatorial cusp count and clover invariants
Abstract 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.
Authors
- Sebastian Baader (ORCID: https://orcid.org/0009-0007-4699-6682)
- Masaharu Ishikawa (ORCID: https://orcid.org/0000-0002-6644-9113)
Institutions
- University of Bern (CH)
- Keio University (JP)
Publication Details
- Journal
- Mathematical Proceedings of the Cambridge Philosophical Society
- Published
- 2025-10-03
- DOI
- https://doi.org/10.1017/s0305004125101710
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00