  Topological quantum matter and spintronics research have been developed to a
large extent independently. In this Review we discuss a new role that the
antiferromagnetic order has taken in combining topological matter and
spintronics. This occurs due to the complex microscopic symmetries present in
antiferromagnets that allow, e.g., for topological relativistic quasiparticles
and the newly discovered N\'{e}el spin-orbit torques to coexist. We first
introduce the concepts of topological semimetals and spin-orbitronics.
Secondly, we explain the antiferromagnetic symmetries on a minimal Dirac
semimetal model and the guiding role of $\textit{ab initio}$ calculations in
predictions of examples of Dirac, and Weyl antiferromagnets:
SrMnBi$_{\text{2}}$, CuMnAs, and Mn$_{\text{3}}$Ge. Lastly, we illustrate the
interplay of Dirac quasiparticles, topology and antiferromagnetism on: (i) the
experimentally observed quantum Hall effect in EuMnBi$_{\text{2}}$, (ii) the
large anomalous Hall effect in Mn$_{\text{3}}$Ge, and (iii) the theoretically
predicted topological metal-insulator transition in CuMnAs.
