|Date||Apr 05, 2022|
J-holomorphic curves, introduced by Gromov in 1985, have been used in the study of various aspects of symplectic manifolds. Foliations by J-holomorphic curves can be used to study the symplectomorphism group and the topology of Lagrangian submanifolds in the complex projective plane and the product of 2-spheres. As the fixed point set of any anti-symplectic involution of a symplectic manifold is a Lagrangian submanifold, the study of anti-symplectic involutions of a symplectic manifold can be understood the one of Lagrangians. In this talk, we explore the space of anti-symplectic involutions of rational symplectic 4-manifolds using their J-holomorphic curves.