Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strictly Commutative Complex Orientations of $Tmf_1(N)$   We construct by adapting methods and results of Ando, Hopkins, Rezkand Wilson
combined with results of Hopkins and Lawson strictly commu-tative complex
orientations for the spectra of topological modular forms with level
$\Gamma_1(N)$.

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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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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: q-bio
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph