3 problems

Let $X$ be a symplectic manifold and let $L\subset X$ be a null-homologous Lagrangian. Let $HC^-_*(Fuk(X),L)$ denote the relative cyclic homology associated to the object $L$, and…

Let $M$ be a point-invertible manifold, and let $L_0,L_1\subset M$ be monotone Lagrangian submanifolds with $L_0\cap L_1=\varnothing$. Disjoint Lagrangians conjecture. At least one…

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 d…