Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi right-veering braids and non-loose links   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 $(M,\xi)$ is non-loose if and only if every
braid representative of $K$ with respect to every open book decomposition that
supports $(M,\xi)$ is quasi-right-veering. We also show that several
definitions of "right-veering" closed braids are equivalent.

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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph