This recent paper of 2016 contains a useful introduction to the new development in TQFT for strongly coupled condensed matter system and topological quantum matter in 3-dimensions, 4-dimensions and any dimension:.
The authors point out the relations between quantum Hamiltonian lattice models, the continuum TQFTs and group cohomology/cobordism theory.
https://arxiv.org/abs/1612.09298
Annals of Physics 384C, 254-287 (2017)
DOI: 10.1016/j.aop.2017.06.019