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PreprintarXiv licencearXiv

The Conway knot has infinite order in smooth concordance

Abstract

We prove that the Conway knot has infinite order in the concordance group, and in particular that it is not slice. Ours is an alternative, independent proof with respect to those of Piccirillo and of Donatone, Kegel, Lewark, and Truöl.

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BibTeX
@misc{golla2026conway,
  title = {{The Conway knot has infinite order in smooth concordance}},
  author = {Marco Golla and Juanita Pinzón-Caicedo},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.22378},
  eprint = {2609.22378},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.22378},
}
RIS
TY  - UNPB
TI  - The Conway knot has infinite order in smooth concordance
AU  - Marco Golla
AU  - Juanita Pinzón-Caicedo
PY  - 2026
DA  - 2026/09/17
PB  - arXiv
DO  - 10.48550/arxiv.2609.22378
UR  - https://arxiv.org/abs/2609.22378
AB  - We prove that the Conway knot has infinite order in the concordance group, and in particular that it is not slice. Ours is an alternative, independent proof with respect to those of Piccirillo and of Donatone, Kegel, Lewark, and Truöl.
ER  -