  We investigate topological transport in a spin-orbit coupled bosonic Mott
insulator. We show that interactions can lead to anomalous quasi-particle
dynamics even when the spin-orbit coupling is abelian. To illustrate the
latter, we consider the spin-orbit coupling realized in the experiment of Lin
\textit{et al}. [Nature (London) \textbf{471}, 83 (2011)]. For this spin-orbit
coupling, we compute the quasiparticle dispersions and spectral weights, the
interaction-induced momentum space Berry curvature, and the momentum space
distribution of spin density, and propose experimental signatures. Furthermore,
we find that in our approximation for the single-particle propagator, the
ground state can in principle support an integer Hall conductivity if the sum
of the Chern numbers of the hole bands is nonzero.
