Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enhanced Kauffman bracket   S. Nelson, M. Orrison, V. Rivera {\cite{S}} modified Kauffman's construction
of bracket. Their invariant $\Phi^{\beta}_X$ takes value in a finite ring
$Z_2[t]/(1+t+t^3)$. In this paper, the author generalizes this invariant. The
new invariant takes value in a polynomial ring. Furthermore, for a tricolorable
link diagram, the author gives a bracket invariant which gives lower bound on
number of crossings with different (same) colors.

10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci