Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Investigation of the Fractionally Quantized Hall
  Conductivity   Using the fiber bundle concept developed in geometry and topology, the
fractionally quantized Hall conductivity is discussed in the relevant
many--particle configuration space. Electron-magnetic field and
electron-electron interactions under FQHE conditions are treated as functional
connections over the torus, the torus being the underlying two-dimensional
manifold. Relations to the $(2+1)$--dimensional Chern--Simons theory are
indicated. The conductivity being a topological invariant is given as
$\frac{e^2}{h}$ times a linking number which is the quotient of the winding
numbers of the self-consistent field and the magnetic field, respectively. Odd
denominators are explained by the two spin structures which have been
considered for the FQHE correlated electron system.

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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org