Corpus ID: 215548979

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

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