Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-degenerate exchange move always produces infinitely many
  non-conjugate braids   We show that if a link $L$ has a closed $n$-braid representative admitting
non-degenerate exchange move, an exchange move that does not obviously preserve
the conjugacy class, $L$ has infinitely many non-conjugate closed $n$-braid
representatives.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: cs