Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules

Leonid Polterovich, Egor Shelukhin

Research output: Contribution to journalArticlepeer-review

Abstract

We find robust obstructions to representing a Hamiltonian diffeomorphism as a full k-th power, k≥2, and in particular, to including it into a one-parameter subgroup. The robustness is understood in the sense of Hofer’s metric. Our approach is based on the theory of persistence modules applied in the context of filtered Floer homology. We present applications to geometry and dynamics of Hamiltonian diffeomorphisms.

Original languageEnglish
Pages (from-to)227-296
Number of pages70
JournalSelecta Mathematica, New Series
Volume22
Issue number1
DOIs
StatePublished - 1 Jan 2016

Keywords

  • 37Cxx
  • 53Dxx

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