Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A multiple conjugation biquandle and handlebody-links   We introduce a multiple conjugation biquandle, and show that it is the
universal algebra to define a semi-arc coloring invariant for handlebody-links.
A multiple conjugation biquandle is a generalization of a multiple conjugation
quandle. We extend the notion of $n$-parallel biquandle operations for any
integer $n$, and show that any biquandle gives a multiple conjugation biquandle
with them.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph