Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deformations of reducible representations of knot groups into
  $\mathrm{SL}(n,\mathbf{C})$   Let $K$ be a knot in $S^3$ and $X$ its complement. We study deformations of
non-abelian, metabelian, reducible representations of the knot group
$\pi\_1(X)$ into $\mathrm{SL}(n,\mathbf{C})$ which are associated to a simple
root of the Alexander polynomial. We prove that certain of these metabelian
reducible representations are smooth points of the
$\mathrm{SL}(n,\mathbf{C})$-representation variety and that they have
irreducible deformations.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol