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Symplectically degenerate maxima via generating functions

Published 10 Feb 2011 in math.SG and math.DS | (1102.2021v3)

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.

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