Rasmussen s-invariants of satellites do not detect slice knots
classification
🧮 math.GT
keywords
detectknotsrasmussens-invariantssatellitesanswersarbitrarycochran-harvey-horn
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We present a large family of knots for which the Rasmussen s-invariants of arbitrary satellites do not detect sliceness. This answers a question of Hedden. The proof hinges on work of Kronheimer-Mrowka and Cochran-Harvey-Horn.
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