Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix algebras converge to the sphere for quantum Gromov--Hausdorff
  distance   On looking at the literature associated with string theory one finds
statements that a sequence of matrix algebras converges to the 2-sphere (or to
other spaces). There is often careful bookkeeping with lengths, which suggests
that one is dealing with ``quantum metric spaces''. We show how to make these
ideas precise by means of Berezin quantization using coherent states. We work
in the general setting of integral coadjoint orbits for compact Lie groups.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg