Generating functions of symplectomorphisms
type: Item
instance of: scholarly article
title: Generating functions of symplectomorphisms
zbMATH Open document ID: 0828.58017
author: P. E. Pushkar'
publication date: 1995-06-26T00:00:00Z
review text: 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.
reviewed by: Yuri E. Gliklikh
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 58D15
zbMATH DE Number: 767648
zbMATH Keywords: loop space
zbMATH Keywords: symplectic diffeomorphisms
zbMATH Keywords: generating function
MaRDI profile type: Publication
published in: Functional Analysis and Its Applications
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description: scientific article; zbMATH DE number 767648