Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new approach to the word and conjugacy problems in the braid groups   A new presentation of the $n$-string braid group $B_n$ is studied. Using it,
a new solution to the word problem in $B_n$ is obtained which retains most of
the desirable features of the Garside-Thurston solution, and at the same time
makes possible certain computational improvements. We also give a related
solution to the conjugacy problem, but the improvements in its complexity are
not clear at this writing.

4
The categories of this paper are: cond-mat
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
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th