Symplectically degenerate maxima via generating functions
arXiv:1102.2021 · doi:10.1007/s00209-013-1157-6
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.
25 pages, thoroughly revised version, new title