Dynamics, topology and holomorphic curves
The author describes the intimate interplay between certain classes of dynamical systems and a holomorphic curve theory. He emphasizes this interplay in real dimension three. The author gives a tool to construct global surfaces of section and generalizations thereof for the large class of Reeb vector fields, which includes, in particular, all geodesic flows on surfaces. (There are many aspects touching areas like Gromov-Witten invariants, quantum cohomology, symplectic homology, Seiberg-Witten invariants, Hamiltonian dynamics and more).
scientific article; zbMATH DE number 1194150