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arxiv: 1308.1594 · v2 · submitted 2013-08-07 · 🧮 math.GT

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A prime decomposition theorem for the 2-string link monoid

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classification 🧮 math.GT
keywords stringdecompositiongivelinklinksmonoidprimetheorem
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In this paper we use 3-manifold techniques to illuminate the structure of the string link monoid. In particular, we give a prime decomposition theorem for string links on two components as well as give necessary conditions for string links to commute under the stacking operation.

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