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 $B$-branes which are coherent sheaves, so that such a field on a sheaf turns it into a holonomic regular $D$-module.

中文翻译：

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扁平规范场和黎曼-希尔伯特对应

出现在 Aharonov-Bohm 型效应中的几何相位在 Deligne 版本的 Riemann-Hilbert 对应关系的框架中被解释。我们还将平面规范场的概念扩展到 $B$-膜，它们是相干的层，因此层上的这种场将其变成完整的规则 $D$-模。