Zhengwei Liu: Alterfold Topological Quantum Field Theory

We will briefly review the development of topological quantum field theory (TQFT) and topological orders. It is a major open question to describe the relation between the injective ground state of a gapped Hamiltonian and TQFT. We will answer this question. In addtion, we will establish a conceptual connection between TQFT and constructive quantum field theory.