Lagrangian product tori in tame symplectic manifolds

Abstract

Product Lagrangian tori in standard symplectic space $R^{2n}$ were classified up to symplectomorphism in [Che96]. We extend this classification to tame symplectically aspherical symplectic manifolds. We show by examples that the asphericity assumption cannot be omitted.

arXiv comment31 pages

Cited by in corpus (1)

• Almost all Lagrangian torus orbits in $\mathbb{C}{P}^n$ are not Hamiltonian volume minimizing