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On periodic points of Hamiltonian diffeomorphisms of $\mathbb{C}\text{P}^d$ via generating functions

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Publication:6338078

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DOI10.4310/JSG.2022.V20.N1.A1arXiv2004.02165MaRDI QIDQ6338078

Author name not available (Why is that?)

Publication date: 5 April 2020

Abstract: Inspired by the techniques of Givental and Th'eret, we provide a proof with generating functions of a recent result of Ginzburg-G"urel concerning the periodic points of Hamiltonian diffeomorphisms of

m a t h b b C e x t P^{d}

. For instance, we are able to prove that fixed points of pseudo-rotations are isolated as invariant sets or that a Hamiltonian diffeomorphism with a hyperbolic fixed point has infinitely many periodic points.

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