Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral and scattering theory for Gauss-Bonnet operators on perturbed
  topological crystals   In this paper we investigate the spectral and the scattering theory of
Gauss--Bonnet operators acting on perturbed periodic combinatorial graphs. Two
types of perturbation are considered: either a multiplication operator by a
short-range or a long-range potential, or a short-range type modification of
the graph. For short-range perturbations, existence and completeness of local
wave operators are proved. In addition, similar results are provided for the
Laplacian acting on edges.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex