Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of 3-bridge spheres of 3-bridge arborescent links   In this paper, we give an isotopy classification of 3-bridge spheres of
3-bridge arborescent links, which are not Montesinos links. To this end, we
prove a certain refinement of a theorem of J.S. Birman and H.M. Hilden on the
relation between bridge presentations of links and Heegaard splittings of
3-manifolds. In the proof of this result, we also give an answer to a question
by K. Morimoto on the classification of genus-2 Heegaard splittings of certain
graph manifolds.

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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph