Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted higher index theory on good orbifolds, II: fractional quantum
  numbers   This paper is the continuation of Part I, expanding previous results of
math.DG/9803051. This paper uses techniques in noncommutative geometry as
developed by Alain Connes in order to study the twisted higher index theory of
elliptic operators on orbifold covering spaces of compact good orbifolds, which
are invariant under a projective action of the orbifold fundamental group. We
also compute the range of the higher cyclic traces on $K$-theory for cocompact
Fuchsian groups, which is then applied to determine the range of values of the
Connes-Kubo Hall conductance in the discrete model of the quantum Hall effect
on the hyperbolic plane. The new phenomenon that we observe in our case is that
the Connes-Kubo Hall conductance has plateaux at integral multiples of a
fractional valued topological invariant, namely the orbifold Euler
characteristic. The set of possible fractions has been determined, and is
compared with recently available experimental data.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an