  Fractional Chern insulators (FCIs) realized in fractional quantum Hall
systems subject to a periodic potential are topological phases of matter for
which space group symmetries play an important role. In particular, lattice
dislocations in an FCI can host topology-altering non-Abelian topological
defects, known as genons. Genons are of particular interest for their potential
application to topological quantum computing. In this work, we study FCI edges
and how they can be used to detect genons. We find that translation symmetry
can impose a quantized momentum difference between the edge electrons of a
partially-filled Chern band. We propose {\it layer-resolved lattice contacts},
which utilize this momentum difference to selectively contact a particular FCI
edge electron. The relative current between FCI edge electrons can then be used
to detect the presence of genons in the bulk FCI. Recent experiments have
demonstrated graphene is a viable platform to study FCI physics. We describe
how the lattice contacts proposed here could be implemented in graphene subject
to an artificial lattice, thereby outlining a path forward for experimental
dectection of non-Abelian topological defects.
