Periodic points of Hamiltonian surface diffeomorphisms
Dynamical Systems
2014-11-11 v2
Abstract
The main result of this paper is that every non-trivial Hamiltonian diffeomorphism of a closed oriented surface of genus at least one has periodic points of arbitrarily high period. The same result is true for S^2 provided the diffeomorphism has at least three fixed points. In addition we show that up to isotopy relative to its fixed point set, every orientation preserving diffeomorphism F: S --> S of a closed orientable surface has a normal form. If the fixed point set is finite this is just the Thurston normal form.
Keywords
Cite
@article{arxiv.math/0303296,
title = {Periodic points of Hamiltonian surface diffeomorphisms},
author = {John Franks and Michael Handel},
journal= {arXiv preprint arXiv:math/0303296},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper20.abs.html