Invariants de Welschinger

Alexandru Oancea (1)

1 IRMA - Institut de Recherche Mathématique Avancée

This is an overview of some of the invariants that were discovered by Welschinger in the context of enumerative real algebraic geometry. Their definition finds a natural setup in real symplectic geometry. In particular, they can be studied using techniques from symplectic field theory, of which we also give a sample. Welschinger invariants are real analogues of certain Gromov-Witten invariants. This article is an extended set of notes for a talk at the Bourbaki seminar in April 2011.

Mots clés: invariants de Welschinger; invariants de Gromov-Witten; géométrie algébrique; géométrie énumérative; géométrie symplectique; théorie symplectique des champs

Domaines: Géométrie symplectique [math.SG]

Alexandru Oancea. Invariants de Welschinger. 2011. ⟨hal-00636569⟩