Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On quantum cohomology ring of elliptic $\mathbb{P}^1$ orbifolds   We compute quantum cohomology ring of elliptic $\mathbb{P}^1$ orbifolds via
orbi-curve counting. The main technique is the classification theorem which
relates holomorphic orbi-curves with certain orbifold coverings. The countings
of orbi-curves are related to the integer solutions of Diophantine equations.
This reproduces the computation of Satake and Takahashi in the case of
$\mathbb{P}^1_{3,3,3}$ via different method.

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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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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: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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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: nucl-ex
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The categories of this paper are: q-fin