Strongly quasipositive links are concordant to infinitely many strongly quasipositive links
arXiv:2210.06612
Abstract
We show that every non-trivial strongly quasipositive link is smoothly concordant to infinitely many pairwise non-isotopic strongly quasipositive links. In contrast to our result, Baker conjectured that smoothly concordant strongly quasipositive fibered knots are isotopic. Our construction uses a satellite operation whose companion is a slice knot with maximal Thurston-Bennequin number -1.
V2: 14 pages, 5 figures, comments welcome! Corresponds to version accepted for publication in Proc. Amer. Math. Soc