Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms (Q2184740)

The paper gives a research on many kinds of spin Topological Quantum Field Theories (spin-TQFTs) based on the interacting fermionic Symmetry Protected Topological states with a finite group \(G\) symmetry. The works are comprehensive research on this topic. For example, the research provide explicit classification of 't Hooft anomalies of fermionic QFTs in one dimension lower. They also construct new anomalous boundary spin-TQFTs. In general, the results help with the understanding of the spin TQFTs.