  Yves Colin de Verdiere's quantization formalism of magnetic bottles on
Riemann surfaces of non null genus is shown to be affected, owing to the
Homotopy Superselection Rule, by the phenomenon of the existence of multiple
inequivalent quantizations mathematically analogous to the phenomenon of the
existence of multiple inequivalent prequantizations of a multiply-connected
symplectic manifold in the framework of Souriau-Kostant's Geometric
Quantization.
