# Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds

@article{Cote2019LinkingOL, title={Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds}, author={Laurent Cot'e and Georgios Dimitroglou Rizell}, journal={arXiv: Symplectic Geometry}, year={2019} }

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 first corollary, we strengthen a result due independently to Eliashberg-Polterovich and to Giroux describing Lagrangian tori in $T^* \mathbb{T}^2-0_{\mathbb{T}^2}$ which are homologous to the zero section. As a second corollary, we… CONTINUE READING

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