“…Also, the magnetic order here is along the (π, 0) direction, and has a small moment 4 . In contrast to the cuprates, where only the d x 2 −y 2 orbital of the five Cu d-orbitals is important, the multi-orbital nature of the FeAs materials have been emphasized in several recent calculations 5,6,7 . In this paper we point out a topological aspect of the band structure, closely connected with the multi-orbital nature of the material, that has important ramifications for the phases in this system.…”