Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Turaev genus of torus knots   The Turaev genus and dealternating number of a link are two invariants that
measure how far away a link is from alternating. We determine the Turaev genus
of a torus knot with five or fewer strands either exactly or up to an error of
at most one. We also determine the dealternating number of a torus knot with
five or fewer strand up to an error of at most two. Additional bounds are given
on the Turaev genus and dealternating number of torus links with five or fewer
strands and on some infinite families of torus links on six strands.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph