Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On fibered commensurability   This paper initiates a systematic study of the relation of commensurability
of surface automorphisms, or equivalently, fibered commensurability of
3-manifolds fibering over the circle. We show that every hyperbolic fibered
commensurability class contains a unique minimal element, whereas the class of
Seifert manifolds fibering over the circle consists of a single
commensurability class with infinitely many minimal elements. The situation for
non-geometric manifolds is more complicated, and we illustrate a range of
phenomena that can occur in this context.

10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg