Resumen de Floer cohomology of the Chiang Lagrangian

Jonathan David Evans, Yanki Lekili

• We study holomorphic discs with boundary on a Lagrangian submanifold LL in a symplectic manifold admitting a Hamiltonian action of a group KK which has LL as an orbit. We prove various transversality and classification results for such discs which we then apply to the case of a particular Lagrangian in CP3CP3 first noticed by Chiang (Int Math Res Not 45:2437–2441, 2004). We prove that this Lagrangian has non-vanishing Floer cohomology if and only if the coefficient ring has characteristic 5, in which case, it generates the split-closed derived Fukaya category as a triangulated category.