Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Bott index of unitary matrices on a finite torus   This article reviews the foundations of the theory of the Bott index of a
pair of unitary matrices in the context of condensed matter theory, as
developed by Hastings and Loring in J. Math. Phys. (51), 015214, (2010) and
Annals of Physics 326 (2011) 1699-1759, in particular showing the equivalence
with the Chern number, and providing throughout new proofs making this work
self-contained.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th