Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The noncommutative geometry of wire networks from triply periodic
  surfaces   We study wire networks that are the complements of triply periodic minimal
surfaces. Here we consider the P, D, G surfaces which are exactly the cases in
which the corresponding graphs are symmetric and self-dual. Our approach is
using the Harper Hamiltonian in a constant magnetic field. We treat this system
with the methods of noncommutative geometry and obtain a classification for all
the $C^*$ geometries that appear.

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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: patt-sol