PreprintCC BY 4.0arXiv
The Conway knot has infinite concordance order
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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BibTeX
@misc{donatone2026conway,
title = {{The Conway knot has infinite concordance order}},
author = {Chiara Donatone and Marc Kegel and Lukas Lewark and Paula Truöl},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.30422},
eprint = {2606.30422},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.30422},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The Conway knot has infinite concordance order
AU - Chiara Donatone
AU - Marc Kegel
AU - Lukas Lewark
AU - Paula Truöl
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2606.30422
UR - https://arxiv.org/abs/2606.30422
AB - 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.
ER -