Quasi right-veering braids and non-loose links

Tetsuya Ito; Keiko Kawamuro

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arXiv · 1601.07084

Quasi right-veering braids and non-loose links

Tetsuya Ito·Keiko Kawamuro

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Abstract

We introduce a notion of "quasi-right-veering" for closed braids, which plays an analogous role to "right-veering" for open books. We show that a transverse link $K$ in a contact 3-manifold $(M,ξ)$ is non-loose if and only if every braid representative of $K$ with respect to every open book decomposition that supports $(M,ξ)$ is quasi-right-veering. We also show that several definitions of "right-veering" closed braids are equivalent.

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Tetsuya Ito, Keiko Kawamuro. 2018-07-12. Quasi right-veering braids and non-loose links. https://arxiv.org/abs/1601.07084

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