We first present the construction of the moduli space of realpseudo-holomorphic curves in a given real symplectic manifold. Then, followingthe approach of Gromov and Witten, we construct invariants under deformation ofreal rational symplectic 4-manifolds. These invariants provide lower bounds forthe number of real rational $J$-holomorphic curves in a given homology classpassing through a given real configuration of points.
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