Event Series
Event Type
Seminar
Monday, February 27, 2023 2:30 PM
Yoel Groman (Hebrew University of Jerusalem)

For a compact subset K of a closed or geometrically bounded symplectic manifold one can consider the Hamiltonian Floer cohomology of the indicator function. This invariant is otherwise known as relative symplectic cohomology. At first sight, relative SH depends in an intractable way on both K and M. In the case where K has contact boundary I will discuss a theorem computing this invariant in infinitesimal action windows in terms of the Reeb orbit homology introduced by McLean. I will then discuss how this can be leveraged to allow full computations when K is the neighborhood of a singularity of an SYZ fibration. This is work in progress.