Embeddings of lens spaces and rational homology balls in complex projective space II

Geometry Topology Working Seminar
Friday, September 30, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Agniva Roy – Georgia Tech
John Etnyre

Given a symplectic 4 manifold and a contact 3 manifold, it is natural to ask whether the latter embeds in the former as a contact type hypersurface. We explore this question for CP^2 and lens spaces. We will discuss a construction of small symplectic caps, using ideas first laid out by Gay in 2002, for rational homology balls bounded by lens spaces. This allows us to explicitly understand embeddings of these rational balls in CP2 that were earlier understood only through almost toric fibrations. This is joint work with John Etnyre, Hyunki Min, and Lisa Piccirillo.