Filtered Instantons and the Concordance of Satellites

Ivan So

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arXiv · 2507.14350

Filtered Instantons and the Concordance of Satellites

Ivan So

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Abstract

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 $.

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Ivan So. 2025-07-18. Filtered Instantons and the Concordance of Satellites. https://arxiv.org/abs/2507.14350

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