Article Dans Une Revue Inventiones Mathematicae Année : 2005

Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

Résumé

We first build the moduli spaces of real rational pseudo-holomorphic curves in a given real symplectic 4-manifold. Then, following the approach of Gromov and Witten [3, 19, 11], we define invariants under deformation of real symplectic 4-manifolds. These invariants provide lower bounds for the number of real rational J-holomorphic curves which realize a given homology class and pass through a given real configuration of points.

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hal-04290256 , version 1 (16-11-2023)

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Jean-Yves Welschinger. Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry. Inventiones Mathematicae, 2005, 162 (1), pp.195-234. ⟨10.1007/s00222-005-0445-0⟩. ⟨hal-04290256⟩

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