Enumerative invariants of stongly semipositive real symplectic six-manifolds

Jean-Yves Welschinger (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

Following the approach of Gromov and Witten, we define invariants under deformation of stongly semipositive real symplectic six-manifolds. These invariants provide lower bounds in real enumerative geometry, namely for the number of real rational $J$-holomorphic curves which realize a given homology class and pass through a given real configuration of points.

Mots clés: Real symplectic manifold; rational curve; enumerative geometry

Domaines: Géométrie algébrique [math.AG]; Géométrie symplectique [math.SG]

Jean-Yves Welschinger. Enumerative invariants of stongly semipositive real symplectic six-manifolds. 2007. ⟨hal-00008488v2⟩