Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gromov-Witten theory via Kuranishi structures   In this expository manuscript, we review the construction of Gromov-Witten
virtual fundamental class via FOOO's theory of Kuranishi structures for moduli
spaces of pseudo-holomorphic maps defined on closed Riemann surfaces. We
consider constraints coming from the ambient space and Deligne-Mumford moduli,
called primary insertions, as well as intrinsic classes such as $\psi$-classes
and Hodge classes.

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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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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: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph