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arXiv · 1710.06036

Legendrian ribbons and strongly quasipositive links in an open book

Kyle Hayden
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Abstract

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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Kyle Hayden. 2017-10-17. Legendrian ribbons and strongly quasipositive links in an open book. https://arxiv.org/abs/1710.06036

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