Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Self-Linking Number in Planar Open Book Decompositions   We construct a Seifert surface for a given null-homologous transverse link in
a contact manifold that is compatible with a planar open book decomposition,
then obtain a formula of the self-linking number. It extends Bennequin's
self-linking number formula for braids in the standard contact 3-sphere.

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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga