Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A two component link with Alexander polynomial one is concordant to the
  Hopf link   Four-dimensional surgery is used to show that a two component link with
Alexander polynomial one is topologically concordant to the Hopf link.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol