English

Braid closure union braid axis is ribbon concordance minimal

Geometric Topology 2026-07-15 v1

Abstract

We show that a ribbon concordance minimal fibered knot KK in S3S^3 can generate ribbon concordance minimal links by the addition of any braid closure in S3KS^3 \setminus K. As a corollary, we show that any link LL in S3S^3 may be made ribbon concordance minimal by adding a single unknot linked with LL. Our proofs use link Floer homology together with classical techniques.

Cite

@article{arxiv.2607.14030,
  title  = {Braid closure union braid axis is ribbon concordance minimal},
  author = {Benjamin Daniels},
  journal= {arXiv preprint arXiv:2607.14030},
  year   = {2026}
}

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7 pages, comments welcome!