Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the linearity of certain mapping class groups   S. Bigelow proved that the braid groups are linear. That is, there is a
faithful representation of the braid group into the general linear group of
some field. Using this, we deduce from previously known results that the
mapping class group of a sphere with punctures and hyperelliptic mapping class
groups are linear. In particular, the mapping class group of a closed
orientable surface of genus 2 is linear.

15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph