23/02/2021, 17:00 — 18:00 — Online
Alexandru Oancea, Institut de Mathématiques de Jussieu, Sorbonne Université
Duality and coproducts in Rabinowitz-Floer homology
The goal of the talk is to explain a duality theorem between Rabinowitz-Floer homology and cohomology. These are Floer homology groups associated to the contact boundary of a Liouville domain, and the duality isomorphism is compatible with canonically defined product structures. Dual to the cohomological product is a homology coproduct which satisfies a remarkable compatibility relation with the product structure. We will also discuss the relationship to loop spaces and Chas-Sullivan/Goresky-Hingston products.