${\mathcal{C}}^0$-rigidity of Lagrangian submanifolds and punctured holomorphic discs in the cotangent bundle

Cedric Membrez, Emmanuel Opshtein

Our main result is the ${\mathcal{C}}^0$-rigidity of the area spectrum and the Maslov class of Lagrangian submanifolds. This relies on the existence of punctured pseudoholomorphic di…