The fractional quantum Hall effect contains much semiconductor physics that will likely only distract you, as a mathematician. In particular, it is not even established whether the fractional quantum Hall effect supports a topologically nontrivial phase at all. (Much of the uncertainy comes from the fact that the two-dimensional electron gas actually extends in the third dimension.) From a mathematical perspecitveperspective, this link contains a variety of pointers to the literature:
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The fractional quantum Hall effect contains much semiconductor physics that will likely only distract you, as a mathematician. In particular, it is not even established whether the fractional quantum Hall effect supports a topologically nontrivial phase at all. From a mathematical perspecitve, this link contains a variety of pointers to the literature: |
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