Hofer's geometry and floer theory under the quantum limit

Research output: Contribution to journalArticle

Abstract

In this article, we use Floer theory to study the Hofer length functional for paths of Hamiltonian diffeomorphisms which are sufficiently short. In particular, the length minimizing properties of a short Hamiltonian path are related to the properties and number of its periodic orbits.

Original languageEnglish (US)
Article numberrnm137
JournalInternational Mathematics Research Notices
Volume2008
Issue number1
DOIs
StatePublished - Dec 1 2008

ASJC Scopus subject areas

  • Mathematics(all)

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