Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On generating sets of Yoshikawa moves for marked graph diagrams of
  surface-links   A marked graph diagram is a link diagram possibly with marked $4$-valent
vertices. S. J. Lomonaco, Jr. and K. Yoshikawa introduced a method of
representing surface-links by marked graph diagrams. Specially, K. Yoshikawa
gave local moves on marked graph diagrams, nowadays called Yoshikawa moves. It
is now known that two marked graph diagrams representing equivalent
surface-links are related by a finite sequence of these Yoshikawa moves. In
this paper, we provide some generating sets of Yoshikawa moves on marked graph
diagrams representing unoriented surface-links, and also oriented
surface-links. We also discuss independence of certain Yoshikawa moves from the
other moves.

5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th