Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unexpected connections between Burnside Groups and Knot Theory   In Classical Knot Theory and in the new Theory of Quantum Invariants
substantial effort was directed toward the search for unknotting moves on
links. We solve, in this note, several classical problems concerning unknotting
moves. Our approach uses a new concept, Burnside groups of links, which
establishes unexpected relationship between Knot Theory and Group Theory. Our
method has the potential to be used in computational biology in the analysis of
DNA via tangle embedding theory, as developed by D.W.Sumners.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga