Invariance of immersed Floer cohomology under Maslov flows

We show that immersed Lagrangian Floer cohomology in compact rational symplectic manifolds is invariant under Maslov flows such as coupled mean curvature/Kaehler-Ricci flow the sense of Smoczyk a pair self-intersection points born or dies at self-tangency, using results Ekholm-Etnyre-Sullivan. This proves part conjecture Joyce. give lower bound on time for which (forward backwards) flow, if it exists.