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PreprintarXiv licencearXiv

Shake concordance in the topological concordance class of the Hopf link

Abstract

Within the topological concordance class of the Hopf link, we construct infinitely many classes under the equivalence relation generated by smooth $0$-shake concordance. Each contains infinitely many smooth concordance classes represented by links that are pairwise strongly $0$-shake concordant and whose second components have unbounded smooth slice genus.

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BibTeX
@misc{shen2026shake,
  title = {{Shake concordance in the topological concordance class of the Hopf link}},
  author = {Weizhe Shen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14575},
  eprint = {2610.14575},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14575},
}
RIS
TY  - UNPB
TI  - Shake concordance in the topological concordance class of the Hopf link
AU  - Weizhe Shen
PY  - 2026
DA  - 2026/10/10
PB  - arXiv
DO  - 10.48550/arxiv.2610.14575
UR  - https://arxiv.org/abs/2610.14575
AB  - Within the topological concordance class of the Hopf link, we construct infinitely many classes under the equivalence relation generated by smooth $0$-shake concordance. Each contains infinitely many smooth concordance classes represented by links that are pairwise strongly $0$-shake concordant and whose second components have unbounded smooth slice genus.
ER  -