Here, a version of the Arnol’d conjecture, first studied by Conley and Zehnder, giving a generalization of the Poincaré-Birkhoff last geometrical theorem, is proved inside Viterbo’s framework of the generating functions quadratic at infinity. We give brief overviews of some tools that are often utilized in symplectic topology.
On Poincaré-Birkhoff periodic orbits for mechanical Hamiltonian systems on $T^*{\mathbb T}^n$
BERNARDI, OLGA;CARDIN, FRANCO
2006
Abstract
Here, a version of the Arnol’d conjecture, first studied by Conley and Zehnder, giving a generalization of the Poincaré-Birkhoff last geometrical theorem, is proved inside Viterbo’s framework of the generating functions quadratic at infinity. We give brief overviews of some tools that are often utilized in symplectic topology.
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