Symplectically degenerate maxima via generating functions
Symplectic Geometry
2013-11-13 v3 Dynamical Systems
Abstract
We provide a simple proof of a theorem due to Nancy Hingston, asserting that symplectically degenerate maxima of any Hamiltonian diffeomorphism of the standard symplectic 2d-torus are non-isolated contractible periodic points or their action is a non-isolated point of the average-action spectrum. Our argument is based on generating functions.
Cite
@article{arxiv.1102.2021,
title = {Symplectically degenerate maxima via generating functions},
author = {Marco Mazzucchelli},
journal= {arXiv preprint arXiv:1102.2021},
year = {2013}
}
Comments
25 pages, thoroughly revised version, new title