High Quality Content by WIKIPEDIA articles! In mathematics, specifically in symplectic topology and algebraic geometry, one can construct the moduli space of stable maps, satisfying specified conditions, from Riemann surfaces into a given symplectic manifold. This moduli space is the essence of the Gromov–Witten invariants, which find application in enumerative geometry and type IIA string theory. Because the construction is lengthy and difficult, it is carried out here rather than in the Gromov–Witten invariants article itself.

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