Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ATmenability of some graphs of groups with cyclic edge groups   We show that certain graphs of groups with cyclic edge groups are aTmenable.
In particular, this holds when each vertex group is either virtually special or
acts properly and semisimply on $\mathbb{H}^n$.

14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ