Braid closure union braid axis is ribbon concordance minimal

Abstract

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

arXiv comment7 pages, comments welcome!