Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The abelianization of the level L mapping class group   We calculate the abelianizations of the level $L$ subgroup of the genus $g$
mapping class group and the level $L$ congruence subgroup of the $2g \times 2g$
symplectic group for $L$ odd and $g \geq 3$.

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The categories of this paper are: astro-ph
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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: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: hep-th