Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The finiteness conjecture holds in SL(2,Z>=0)^2   Let A,B be matrices in SL(2,R) having trace greater than or equal to 2.
Assume the pair A,B is coherently oriented, that is, can be conjugated to a
pair having nonnegative entries. Assume also that either A,B^(-1) is coherently
oriented as well, or A,B have integer entries. Then the Lagarias-Wang
finiteness conjecture holds for the set {A,B}, with optimal product in
{A,B,AB,A^2B,AB^2}. In particular, it holds for every matrix pair in
SL(2,Z>=0).

24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org