Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Outer space for RAAGs   For any right-angled Artin group $A_{\Gamma}$ we construct a
finite-dimensional space $\mathcal{O}_{\Gamma}$ on which the group
$\text{Out}(A_{\Gamma})$ of outer automorphisms of $A_{\Gamma}$ acts with
finite point stabilizers. We prove that $\mathcal{O}_{\Gamma}$ is contractible,
so that the quotient is a rational classifying space for
$\text{Out}(A_{\Gamma})$. The space $\mathcal{O}_{\Gamma}$ blends features of
the symmetric space of lattices in $\mathbb{R}^n$ with those of Outer space for
the free group $F_n$. Points in $\mathcal{O}_{\Gamma}$ are locally CAT(0)
metric spaces that are homeomorphic (but not isometric) to certain locally
CAT(0) cube complexes, marked by an isomorphism of their fundamental group with
$A_{\Gamma}$.

7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn