Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ribbonness of a stable-ribbon surface-link, I. A stably trivial
  surface-link   There is a question asking whether a handle-irreducible summand of every
stable-ribbon surface-link is a unique ribbon surface-link. This question for
the case of a trivial surface-link is affirmatively answered. That is, a
handle-irreducible summand of every stably trivial surface-link is only a
trivial 2-link. By combining this result with an old result of F. Hosowaka and
the author that every surface-knot with infinite cyclic fundamental group is a
stably trivial surface-knot, it is concluded that every surface-knot with
infinite cyclic fundamental group is a trivial (i.e., an unknotted)
surface-knot.

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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
9
The categories of this paper are: nlin
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The categories of this paper are: quant-ph