Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An intrinsic characterization of p-symmetric Heegaard splittings   We show that every p-fold strictly-cyclic branched covering of a b-bridge
link in the 3-sphere admits a p-symmetric Heegaard splitting of genus
g=(b-1)(p-1). This gives a complete converse to a result of Birman and Hilden,
and gives an intrinsic characterization of p-symmetric Heegaard splittings as
p-fold strictly-cyclic branched coverings of links.

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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex