S1-Equivariant Relative Symplectic Cohomology and Relative Symplectic Capacities
In this talk, I will construct an S1-equivariant version of the relative symplectic cohomology developed by Varolgunes. As an application, I will construct a relative version of Gutt-Hutchings capacities and a relative version of symplectic (co)homology capacity. We will see that these relative symplectic capacities can detect the diplaceability and the heaviness of a compact subset of a symplectic manifold. We compare the first relative Gutt-Hutchings capacity and the relative symplectic (co)homology capacity and prove that they are equal to each other under a convexity assumption.
Date
Speakers
Jonghyeon Ahn
Affiliation
University of Illinois Urbana-Champaign