Lens spaces in the complex projective plane, I: obstructions
speaker: Marco Golla (Nantes Universitè)abstract: Which lens spaces embed smoothly in the complex projective plane, and which collections of lens spaces can be disjointly embedded? Work of Manetti and Hacking-Prokhorov showed that each solution to the Markov equation gives rise to a triple of lens spaces which embed disjointly, and Evans-Smith showed this accounts for all symplectic embeddings of the standard rational homology balls bounded by these lens spaces. Further embeddings of lens spaces have since been exhibited, including two families of triples which embed disjointly due to Lisca-Parma.
A necessary condition for a lens space to embed in CP2 is that it bounds a rational homology ball. I will discuss some further obstructions to such embeddings.
This is joint work with Brendan Owens.
timetable:
Tue 4 Jun, 9:30 - 10:30, Aula Dini
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