Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An integral Euler cycle in normally complex orbifolds and Z-valued
  Gromov-Witten type invariants   We define an integral Euler cycle for a vector bundle $E$ over an effective
orbifold $X$ for which $(E, X)$ is (stably) normally complex. The
transversality is achieved by using Fukaya-Ono's "normally polynomial
perturbations" and Brett Parker's generalization to "normally complex
perturbations." Two immediate applications in symplectic topology are the
definition of integer-valued genus-zero Gromov--Witten type invariants for
general compact symplectic manifolds using the global Kuranishi chart
constructed by Abouzaid-McLean-Smith, and an alternative proof of the
cohomological splitting theorem of Abouzaid-McLean-Smith for Hamiltonian
fibrations over $S^2$ with integer coefficients.

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The categories of this paper are: nucl-ex
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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-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an