Vera Vertesi

Title: 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.