Toric constructions of monotone Lagrangian submanifolds in ${\mathbb{CP}}^2$ and ${\mathbb{CP}}^1\times {\mathbb{CP}}^1$

Miguel Abreu, Agnès Gadbled

We extract from a toric model of the Chekanov-Schlenk exotic torus in ${\mathbb{CP}}^2$ methods of construction of Lagrangian submanifolds in toric symplectic manifolds. These constr…