Strongly quasipositive links are concordant to infinitely many strongly quasipositive links

TL;DR

The paper proves that any non-trivial strongly quasipositive link is smoothly concordant to infinitely many distinct strongly quasipositive links, contrasting with a conjecture about fibered knots.

Contribution

It introduces a satellite operation-based method to construct infinitely many non-isotopic strongly quasipositive links concordant to a given one.

Findings

Every non-trivial strongly quasipositive link is concordant to infinitely many distinct strongly quasipositive links.

The construction uses a satellite operation with a slice knot having Thurston-Bennequin number -1.

Contrasts with Baker's conjecture on fibered knots.

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.