The narrow–wide dichotomy for monotone Lagrangian submanifolds

A monotone Lagrangian submanifold is one with monotonicity constant and minimal Maslov number $N_L\geq 2$; it is called narrow or wide according to the corresponding alternatives defined by its Lagrangian quantum homology. Narrow–wide dichotomy conjecture. Any monotone Lagrangian submanifold is either narrow or wide. This conjecture proposes a structural dichotomy for monotone Lagrangian submanifolds; its resolution is not established in the supplied source.