Lagrangian product tori in symplectic manifolds

Abstract

In [7], product Lagrangian tori in standard symplectic space ${\mathbb{R}}^{2n}$ were classified up to symplectomorphism. We extend this classification to symplectically aspherical symplectic manifolds that embed in a tame symplectic manifold.We show by examples that the asphericity assumption cannot be omitted.