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Quasi right-veering braids and non-loose links

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 1601.07084
Source
arXiv
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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 abstract open books. We show that a transverse link is non-loose if and only if every closed braid representative with respect to an arbitrary open book decomposition of the underlying contact 3-manifold is quasi-right veering. We also show that several definitions for a "right-veering" closed braid are equivalent.

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