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arXiv · 2210.06612

Strongly quasipositive links are concordant to infinitely many strongly quasipositive links

Paula Truöl
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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.

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Paula Truöl. 2022-10-12. Strongly quasipositive links are concordant to infinitely many strongly quasipositive links. https://arxiv.org/abs/2210.06612

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