| Contents |
| We discuss how holomorphic curve methods from symplectic geometry can be used to construct global surfaces of section for the restricted three-body problem. These modern methods work for very general Hamiltonian systems and can, in addition, be used to find finite energy foliations, a notion that generalizes global surfaces of section. We indicate how one can find the necessary holomorphic curves numerically, and we present some numerical results inspired by these methods. |
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