Enumerative invariants of stongly semipositive real symplectic six-manifolds

Abstract

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.

18 pages, 1 figure, main result restricted to dimension six, see Remark 5.6