Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sphere boundaries of hyperbolic groups   We show that a one-ended simply connected at infinity hyperbolic group $G$
with enough codimension-1 surface subgroups has $\partial G \cong
\mathbb{S}^2$. Combined with a result of Markovic, our result gives a new
characterization of virtually fundamental groups of hyperbolic 3-manifolds.
  Keywords: CAT(0) cube complexes, Hyperbolic groups, hyperbolic 3-manifolds.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph