Author: Urs Format: MarkdownItexI have added pointer ([here](https://ncatlab.org/nlab/show/Brillouin+torus#References)) to CMT references mentioning the dual lattice $Hom(\Lambda, \mathbb{Z})$.
For an explicit mentioning of the resulting torus $Hom(\Lambda,\mathbb{R})/Hom(\Lambda/\mathbb{Z})$ I have trouble finding a reference predating Freed & Moore 2013.
<a href="https://ncatlab.org/nlab/revision/diff/Brillouin+torus/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Brillouin+torus/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Brillouin+torus">current</a>
I have added pointer (here) to CMT references mentioning the dual lattice .
For an explicit mentioning of the resulting torus I have trouble finding a reference predating Freed & Moore 2013.