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arXiv · 1512.08931

Rasmussen s-invariants of satellites do not detect slice knots

Jae Choon Cha·Min Hoon Kim
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Abstract

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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Jae Choon Cha, Min Hoon Kim. 2015-12-30. Rasmussen s-invariants of satellites do not detect slice knots. https://arxiv.org/abs/1512.08931

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