Symplectically degenerate maxima via generating functions

Marco Mazzucchelli

Symplectically degenerate maxima via generating functions

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arxiv 1102.2021 v3 pith:BBHADLGS submitted 2011-02-10 math.SG math.DS

Marco Mazzucchelli This is my paper · ORCID

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keywords degeneratefunctionsgeneratingmaximanon-isolatedsymplecticallyactionargument

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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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