Strongly quasipositive links are concordant to infinitely many strongly quasipositive links
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917445809209344 |
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| author | Truöl, Paula |
| author_facet | Truöl, Paula |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06612 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Strongly quasipositive links are concordant to infinitely many strongly quasipositive links Truöl, Paula Geometric Topology 57K10 (Primary) 20F36 (Secondary) 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. |
| title | Strongly quasipositive links are concordant to infinitely many strongly quasipositive links |
| topic | Geometric Topology 57K10 (Primary) 20F36 (Secondary) |
| url | https://arxiv.org/abs/2210.06612 |