Counting real rational curves on real symplectic 4-manifolds with vanishing first Chern class

Abstract

We define a signed count of real rational pseudo-holomorphic curves appearing in a one-parameter family of real Spin symplectic K3 surfaces. We show that this count is an invariant of the deformation class of the family. In the case of a real projective K3 surface, this invariant specializes to count real rational curves appearing in a linear system on the surface.

References in corpus (2)

• Déterminant des opérateurs de Cauchy-Riemann réels et application à l'orientabilité d'espaces de modules de courbes réelles
• Counting real rational curves on K3 surfaces