Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real Ruan-Tian Perturbations   Ruan-Tian deformations of the Cauchy-Riemann operator enable a geometric
definition of (standard) Gromov-Witten invariants of semi-positive symplectic
manifolds in arbitrary genera. We describe an analogue of these deformations
compatible with our recent construction of real Gromov-Witten invariants in
arbitrary genera. Our approach avoids the need for an embedding of the
universal curve into a smooth manifold and systematizes the
deformation-obstruction setup behind constructions of Gromov-Witten invariants.

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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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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: eess
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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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: patt-sol
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The categories of this paper are: stat