Bulk-edge correspondence in the adiabatic heuristic principle

Using the Laughlin's argument on a torus with two pinholes, we numerically demonstrate that discontinuities of center mass work well as an invariant pumping phenomena during process flux attachment, trading magnetic for statistical one. This is consistent bulk-edge correspondence fractional quantum Hall effect anyons. We also confirm general feature edge states remains unchanged while topological degeneracy discretely changed. supports stability in adiabatic heuristic principle.