Conley conjecture and local Floer homology
Symplectic Geometry
2018-10-23 v3
Abstract
In this paper we connect algebraic properties of the pair-of-pants product in local Floer homology and Hamiltonian dynamics. We show that for an isolated periodic orbit the product is non-uniformly nilpotent and use this fact to give a simple proof of the Conley conjecture for closed manifolds with aspherical symplectic form. More precisely, we prove that on a closed symplectic manifold the mean action spectrum of a Hamiltonian diffeomorphism with isolated periodic orbits is infinite.
Keywords
Cite
@article{arxiv.1710.07749,
title = {Conley conjecture and local Floer homology},
author = {Erman Cineli},
journal= {arXiv preprint arXiv:1710.07749},
year = {2018}
}
Comments
9 pages, revised version, main results unchanged, Archiv der Mathematik, 2018