Interaction effects on two-dimensional topological crystalline superconductors

We classify topological crystalline superconductors (TCSCs) of free fermions on two-dimensional square and triangular lattices, and discuss how the free-fermion classification is modified by strong electronic interactions. In particular we consider the C4v and C6v point groups of square and triangular lattices, and their associated magnetic point groups. A connection between free-fermion TCSCs and symmetry-enriched topological orders is established, which allows us to understand the interacting classification.