Combinatorial cusp count and clover invariants
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914079217549312 |
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| author | Baader, Sebastian Ishikawa, Masaharu |
| author_facet | Baader, Sebastian Ishikawa, Masaharu |
| contents | We construct efficient topological cobordisms between torus links and large connected sums of trefoil knots. As an application, we show that the signature invariant $σ_ω$ at $ω=ζ_6$ takes essentially minimal values on torus links among all concordance homomorphisms with the same normalisation on the trefoil knot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12122 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Combinatorial cusp count and clover invariants Baader, Sebastian Ishikawa, Masaharu Geometric Topology 57K10, 14B05 We construct efficient topological cobordisms between torus links and large connected sums of trefoil knots. As an application, we show that the signature invariant $σ_ω$ at $ω=ζ_6$ takes essentially minimal values on torus links among all concordance homomorphisms with the same normalisation on the trefoil knot. |
| title | Combinatorial cusp count and clover invariants |
| topic | Geometric Topology 57K10, 14B05 |
| url | https://arxiv.org/abs/2404.12122 |