Generating functions of symplectomorphisms
The author suggests a construction which allows him to replace the infinite-dimensional loop space by the finite-dimensional space of closed polygons in the Conley-Zehnder's proof of Arnol'd's problem on fixed points of symplectic diffeomorphisms of tori. Also an explicit geometric construction for the generating function of a symplectomorphism of \(\mathbb{R}^{2n}\) is given.
scientific article; zbMATH DE number 767648