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
References
SHOWING 1-10 OF 30 REFERENCES