Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Khovanov homology of the 2-cable detects the unknot   We prove that the Khovanov homology of the 2-cable detects the unknot. A
corollary is that Khovanov's categorification of the 2-colored Jones polynomial
detects the unknot.

5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio