Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A table of $n$-component handlebody links of genus $n+1$ up to six
  crossings   A handlebody link is a union of handlebodies of positive genus embedded in
3-space, which generalizes the notion of links in classical knot theory. In
this paper, we consider handlebody links with one genus 2 handlebody and $n-1$
solid tori, $n>1$. Our main result is the complete classification of such
handlebody links with six crossings or less, up to ambient isotopy.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph