  The Imbert-Fedorov (IF) shift is the transverse shift of a beam at a surface
or an interface. It is a manifestation of the three-component Berry curvature
in three dimensions, and has been studied in optical systems and Weyl
semimetals. Here we investigate the IF shift in two types of topological
systems, topological semimetals with pseudospin-$N/2$ for an arbitrary integer
$N$, and nodal-line semimetals (NLSMs). For the former, we find the IF shift
depends on the components of the pseudospin, with the sign depending on the
chirality. We term this phenomenon the pseudospin Hall effect of topological
fermions. The shift can also be interpreted as a consequence of the
conservation of the total angular momentum. For the latter, if the NLSM has
both time-reversal and inversion symmetries, the IF shift is zero; otherwise it
could be finite. We take the NLSM with a vortex ring, which breaks both
symmetries, as an example, and show that the IF shift can be used to detect
topological Lifshitz transitions. Finally, we propose experimental designs to
detect the IF shift.
