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Rasmussen $s$ $s$ -invariants of satellites do not detect slice knots
- Jae Choon Cha and
- Min Hoon Kim
Journal of Knot Theory and Its Ramifications01 Feb 2017
Preview 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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