Legendrian ribbons and strongly quasipositive links in an open book
Geometric Topology
2017-10-18 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1710.06036,
title = {Legendrian ribbons and strongly quasipositive links in an open book},
author = {Kyle Hayden},
journal= {arXiv preprint arXiv:1710.06036},
year = {2017}
}
Comments
17 pages, 9 figures