A cocycle on the group of symplectic diffeomorphisms

Jarek Kedra, Swiatoslaw Gal

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We define a cocycle on the group of symplectic diffeomorphisms of a symplectic manifold and investigate its properties. The main applications are concerned with symplectic actions of discrete groups. For example, we give an alternative proof of the Polterovich theorem about the distortion of cyclic subgroups in finitely generated groups of Hamiltonian diffeomorphisms.
Original languageEnglish
Pages (from-to)73-88
Number of pages16
JournalAdvances in Geometry
Volume11
Issue number1
DOIs
Publication statusPublished - 1 Jan 2011

Keywords

  • symplectic manifold
  • group action
  • discrete group

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