Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds
Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds
Abstract We classify weakly exact, rational Lagrangian tori in $T^* \mathbb{T}^2- 0_{\mathbb{T}^2}$ up to Hamiltonian isotopy. This result is related to the classification theory of closed $1$-forms on $\mathbb{T}^n$ and also has applications to symplectic topology. As a 1st corollary, we strengthen a result due independently to Eliashberg–Polterovich and to …