Recently it has been shown that the Aharonov-Bohm effect can be optically induced in the mesoscopic rings. Motivated by the known connection between the Aharonov-Bohm effect and topology we studied the topological properties of the illuminated arrays of mesoscopic rings of various geometry. Firstly, it will be discussed how a one-dimensional array of coupled rings can change the electronic properties under the illumination of circular polarized light. The counter-propagating edge-currents in a one-dimensional chain will be discussed; this counter propagating edge-current motivates us to increase the dimensionality by one and looking for topological non-trivial properties – inspired by Haldane model. Then it will be discussed how the geometric Berry phase ( acquired due to the broken time-reversal symmetry ) in a two-dimensional array of polariton-rings results the emergence of quantum spin Hall phase. Topologically protected edge currents for both spins will be demonstrated. Finally we will discuss non-trivial properties of zigzag array of quantum rings.