Hopf algebras and 3D TQFTs

In this talk, I will define a notion of Topological Quantum Field Theory (TQFT), which is an important tool in the construction of topological invariants.

I will show that in dimension 2, TQFTs are in 1:1 correspondence with Frobenius algebras, and in dimension 3, any finite dimensional ribbon Hopf algebra defines a TQFT.