Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Agol cycles of pseudo-Anosov 3-braids   We study Agol cycles of pseudo-Anosov 3-braids using Farey sequences. We give
a sufficient condition for two 3-braids to have equivalent or mirror equivalent
Agol cycles and give infinitely many examples. We also study behavior of Agol
cycles of pseudo-Anosov 3-braids admitting flype moves.

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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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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: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol