Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some new CAT(0) free-by-cyclic groups   We show the existence of several new infinite families of
polynomially-growing automorphisms of free groups whose mapping tori are CAT(0)
free-by-cyclic groups. Such mapping tori are thick, and thus not relatively
hyperbolic. These are the first families comprising infinitely many examples
for each rank of the nonabelian free group; they contrast strongly with
Gersten's example of a thick free-by-cyclic group which cannot be a subgroup of
a CAT(0) group.

18
The categories of this paper are: econ
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin