Topological charge and chiral anomalies in fermi superfluids

We review some of the topological properties of Fermi superfluids, in particular the persistent currents in superfluid ³He. We show that the topological charge formalism developed by Garg et al. is related to the chiral anomaly viewpoint of Volovik and co-workers through the Callan-Harvey effect. We stress that the question of the existence of a "twist" term in the current induced by a texture is a history-dependent phenomenon which depends on how the textures are envisaged as being created.