Appears in collection : Wall-Crossing Structures, Analyticity, and Resurgence

I shall review the construction of the WRT invariants and treat a few examples in detail. I shall then state the Resurgence conjecture for these invariants. Following this I shall recall our construction of the Teichmüller TQFT joint with Rinat Kashaev and further cover the new formulation of it. I shall recall a few conjectures concerning these TQFT and end with a discussion of explicit examples.