Symplectically degenerate maxima via generating functions

Abstract : Dedicated to John Mather on the occasion of his 70th birthday. Abstract. We provide a simple proof of a theorem due to Nancy Hingston, asserting that symplectically degenerate maxima of any Hamiltonian diffeo-morphism φ 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 of φ. Our argument is based on generating functions.
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Marco Mazzucchelli. Symplectically degenerate maxima via generating functions. Mathematische Zeitschrift, Springer, 2013, 275, pp.715 - 739. ⟨10.1007/s00209-013-1157-6⟩. ⟨ensl-01404039⟩

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