Vera Vertesi (TU Wien): Contact invariant for bordered contact structures

Abstract:

The relationship between contact topology and various Floer homologies has been a fundamental tool to settle open question in low dimensional topology. The contact invariant in Heegaard Floer homology was one of the main instrument in these applications. In this talk I will extend the definition of the contact invariant for bordered Floer homology. The bordered contact invariant satisfies a gluing formula and recovers the contact invariant for closed and sutured manifolds. The main tools for this extension are foliated open books, and I will spend most of the time explaining these. 
This is joint work with Alishahi, Foldvari, Hendricks, Licata, and Petkova.