Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: STRUCTURING THE SET OF INCOMPRESSIBLE QUANTUM HALL FLUIDS   A classification of incompressible quantum Hall fluids in terms of integral
lattices and arithmetical invariants thereof is proposed. This classification
enables us to characterize the plateau values of the Hall conductivity $\sH$ in
the interval $\,(0,1]\,$ (in units where $\,e^2/h=1$) corresponding to
``stable'' incompressible quantum Hall fluids. A bijection, called shift map,
between classes of stable incompressible quantum Hall fluids corresponding to
plateaux of $\sH$ in the intervals $\,[1/(2\mini p+1),1/(2\mini p-1)\mini)\,$
and $\,[1/(2\mini q+1),1/(2\mini q-1)\mini)$, respectively, is constructed,
with $\,p,q=1,2,3, (\ldots),\ p\neq q$.
  Our theoretical results are carefully compared to experimental data, and
various predictions and experimental implications of our theory are discussed.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga