Smith theory in filtered Floer homology and Hamiltonian diffeomorphisms

2 November 2020
Egor Shelukhin

We describe how Smith theory applies in the setting of Hamiltonian Floer homology filtered by the action functional, and provide applications to questions regarding Hamiltonian diffeomorphisms, including the Hofer-Zehnder conjecture on the existence of infinitely many periodic points and a question of McDuff-Salamon on Hamiltonian diffeomorphisms of finite order.

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  • Geometry and Analysis Seminar