| Abstract: |
| Birkhoff sections (or global surfaces of section) are an important tool in the study of Hamiltonian systems. In this talk, we present a method for directly constructing Birkhoff sections for integrable flows on 3-manifolds. The construction can be applied to boundaries of toric domains and energy surfaces of separable Hamiltonian systems, providing criteria for the existence or non-existence of certain types of Birkhoff sections. |
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