Unoriented 3d TFTs

Understand

This paper generalizes two facts about oriented 3d TFTs to the unoriented case.

• On one hand, it is known that oriented 3d TFTs having a topological boundary condition admit a state-sum construction known as the Turaev-Viro construction.
• This is related to the string-net construction of fermionic phases of matter.
• We show how Turaev-Viro construction can be generalized to unoriented 3d TFTs.