Legendrian ribbons and strongly quasipositive links in an open book
classification
🧮 math.GT
math.SG
keywords
linksquasipositivestronglybooklegendrianlinkopenapplications
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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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Cited by 1 Pith paper
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On T-positive links
T-positive links are precisely the strongly quasipositive links that are closures of T-homogeneous braids, strictly containing non-split braid positive links, with all strongly quasipositive fibered knots up to 12 cro...
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