  Q-lumps are spinning planar topological solitons with stationary solutions
that satisfy first-order Bogomolny equations. Q-lump scattering has previously
been studied only in the charge two sector, by approximating time evolution by
motion in the moduli space of stationary solutions. In this paper, higher
charge scattering is studied via motion on families of 4-dimensional
submanifolds of moduli space, obtained by imposing cyclic symmetries. The
results are shown to be in good agreement with field theory simulations, which
are then applied to study more complicated Q-lump scattering processes,
including examples where the moduli space approximation is not applicable. A
variety of exotic scattering events are presented.
