Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jones polynomials of long virtual knots   This paper defines versions of the Jones polynomial and Khovanov homology by
using several maps from the set of Gauss diagrams to its variant. Through
calculation of some examples, this paper also shows that these versions behave
differently from the original ones.

0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int