Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chern numbers, localisation and the bulk-edge correspondence for
  continuous models of topological phases   In order to study continuous models of disordered topological phases, we
construct an unbounded Kasparov module and a semifinite spectral triple for the
crossed product of a separable $C^*$-algebra by a twisted
$\mathbb{R}^d$-action. The spectral triple allows us to employ the non-unital
local index formula to obtain the higher Chern numbers in the continuous
setting with complex observable algebra. In addition, the pairing can be
extended to a larger algebra closely related to dynamical localisation, as in
the tight-binding approximation. The Kasparov module allows us to exploit the
Wiener-Hopf extension and the Kasparov product to obtain a bulk-boundary
correspondence for continuous models of disordered topological phases.

21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an