Heavy sets and relative symplectic cohomology

Abstract: Heavy sets were introduced by Entov-Polterovich around 2009. They reveal suprising rigidity of certain compact subsets of a closed symplectic manifold, from a functional persepective. When a compact subset is a smooth Lagrangian submanifold, there is a well-established relation between its heaviness and the non-vanishing of its Lagrangian Floer cohomology. In this talk we describe an equivalence between the heaviness of general compact subsets and the non-vanishing of another Floer-type invariant, called the relative symplectic cohomology. If time permits, we will discuss applications and questions we learned from this equivalence. Based on joint work with C.Mak and U.Varolgunes.

differential geometrydynamical systemsgeometric topologysymplectic geometryspectral theory

Audience: researchers in the topic

Geometry and Dynamics seminar

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