Flat gauge fields and the Riemann-Hilbert correspondence
arXiv:1912.01239 · doi:10.1016/S0034-4877(20)30071-9
Abstract
The geometric phase that appears in the effects of Aharonov-Bohm type is interpreted in the frame of Deligne's version of the Riemann-Hilbert correspondence. We extend also the concept of flat gauge field to -branes which are coherent sheaves, so that such a field on a sheaf turns it into a holonomic regular -module.
Extended version to be published in Reports on mathematical Physics