  We study the transport properties of a monolayer transition metal
dichalcogenide (TMDC) ribbon subject to a time periodic circularly polarized
laser field. First, we calculate the quasienergy spectrum within the framework
of the Floquet theory and analyze the nontrivial topology of the Floquet bulk
gaps. The later is revealed by the presence of chiral edge states inside the
bulk gaps in finite samples, in agreement with the calculation of the
appropriate winding numbers as a function of both the energy and the amplitude
of the laser field. The effect of the time dependent perturbation on the
equilibrium edge states is also analyzed. Finally, we calculate the
two-terminal conductance and discuss how the above mentioned effects manifest
on it. In particular, besides the expected suppression of the bulk conductance
and the emergence of edge transport at the Floquet gaps, we find that there is
an asymmetry between left and right transmission coefficients (in the zigzag
case), leading to pumping effects. In addition, we found that the laser field
can lead to a complete switch off of the linear conductance when the later is
dominated by the equilibrium edge states.
