ECH of the unit cotangent bundle of Klein bottle

Marcelo José Miranda, IMPA

Abstract:

A fundamental question in symplectic geometry is to determine when a given symplectic manifold admits a symplectic embedding into another. In this talk, we will discuss how Embedded Contact Homology (ECH), a homological invariant, can be used to address this question in the case of the disk cotangent bundle of the flat Klein bottle.