On geometric interpretation of the Aharonov-Bohm effect
  A geometric interpretation of the Aharonov--Bohm effect is given in terms of connections on principal fiber bundles. It is demonstrated that the principal fiber bundle can be trivial while the connection and its holonomy group are nontrivial. Therefore, the main role is played by geometric rather than topological effects. 
M. O. Katanaev
math-ph math.MP quant-ph