Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Classification of Spun Torus Knots   S. Satoh has defined a construction to obtain a ribbon torus knot given a
welded knot. This construction is known to be surjective. We show that it is
not injective. Using the invariant of the peripheral structure, it is possible
to provide a restriction on this failure of injectivity. In particular we also
provide an algebraic classification of the construction when restricted to
classical knots, where it is equivalent to the torus spinning construction.

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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg