Decorated TQFTs and their Hilbert Spaces
arXiv:2206.14967
Abstract
We discuss topological quantum field theories that compute topological invariants which depend on additional structures (or decorations) on three-manifolds. The -series invariant proposed by Gukov, Pei, Putrov and Vafa is an example of such an invariant. We describe how to obtain these decorated invariants by cutting and gluing, and make a proposal for Hilbert spaces that are assigned to two-dimensional surfaces in the -TQFT.
19 pages, 7 figures