Legendrian ribbons and strongly quasipositive links in an open book
We show that a link in an open book can be realized as a strongly quasipositive braid if and only if it bounds a Legendrian ribbon with respect to the associated contact structure. This generalizes a result due to Baader and Ishikawa for links in the three-sphere. We highlight some related technique...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | We show that a link in an open book can be realized as a strongly
quasipositive braid if and only if it bounds a Legendrian ribbon with respect
to the associated contact structure. This generalizes a result due to Baader
and Ishikawa for links in the three-sphere. We highlight some related
techniques for determining whether or not a link is strongly quasipositive,
emphasizing applications to fibered links and satellites. |
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| DOI: | 10.48550/arxiv.1710.06036 |