Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of the tame automorphism group   We study the group Tame($\mathbf A^3$) of tame automorphisms of the
3-dimensional affine space, over a field of characteristic zero. We recover, in
a unified and (hopefully) simplified way, previous results of Kuroda,
Shestakov, Umirbaev and Wright, about the theory of reduction and the relations
in Tame($\mathbf A^3$). The novelty in our presentation is the emphasis on a
simply connected 2-dimensional simplicial complex on which Tame($\mathbf A^3$)
acts by isometries.

16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn