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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2507.14350 |
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| _version_ | 1866911238561202176 |
|---|---|
| author | So, Ivan |
| author_facet | So, Ivan |
| contents | In \cite{NST23}, Nozaki-Sato-Taniguchi defined a family of invariants $ r_s $ for integer homology spheres with filtered instanton homology \cite{FS92}. Coupling these with techniques in classical knot theory, we produce some results in the knot concordance group, including criteria for a family of satellite knots to be linearly independent and the independence of what we call the Whitehead $ n $-ble $ P_n $. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14350 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Filtered Instantons and the Concordance of Satellites So, Ivan Geometric Topology In \cite{NST23}, Nozaki-Sato-Taniguchi defined a family of invariants $ r_s $ for integer homology spheres with filtered instanton homology \cite{FS92}. Coupling these with techniques in classical knot theory, we produce some results in the knot concordance group, including criteria for a family of satellite knots to be linearly independent and the independence of what we call the Whitehead $ n $-ble $ P_n $. |
| title | Filtered Instantons and the Concordance of Satellites |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2507.14350 |