  We study the electronic structure of monolayer MoS$_2$ quantum dots subject
to a perpendicular magnetic field. The coupling between conduction and valence
band gives rise to mid-gap topological states which localize near the dot edge.
These edge states are analogous to those of 1D quantum rings. We show they
present a large, Zeeman-like, linear splitting with the magnetic field,
anticross with the delocalized Fock-Darwin-like states of the dot, give rise to
Aharonov-Bohm-like oscillations of the conduction (valence) band low-lying
states in the K (K') valley, and modify the strong field Landau levels limit
form of the energy spectrum.
