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arXiv · 2606.30422

The Conway knot has infinite concordance order

Chiara Donatone·Marc Kegel·Lukas Lewark·Paula Truöl
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Abstract

We examine how the Rasmussen invariant, satellite operations, and null-homologous twists can be used to establish infinite order of knots in the smooth concordance group. As an application, we show that the Conway knot has infinite concordance order.

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Chiara Donatone, Marc Kegel, Lukas Lewark, Paula Truöl. 2026-06-29. The Conway knot has infinite concordance order. https://arxiv.org/abs/2606.30422

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