Joint IAS/Princeton University Symplectic Geometry Seminar

I will introduce a "low-area" version of Floer cohomology of a non-monotone Lagrangian submanifold and prove that a continuous family of Lagrangian tori in $\mathbb CP^2$, whose Floer cohomology in the usual sense vanishes, is Hamiltonian non-displaceable from the monotone Clifford torus. Joint work with Renato Vianna.