Smith theory in filtered Floer homology and Hamiltonian diffeomorphisms

Abstract: 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.

algebraic geometrydifferential geometrymetric geometrysymplectic geometry

Audience: researchers in the topic

Oxford Geometry and Analysis Seminar