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arxiv: math/0412490 · v1 · pith:C526NV67new · submitted 2004-12-24 · 🧮 math.GT

Classification of n-component Brunnian links up to C_n-move

classification 🧮 math.GT
keywords linksbrunnianclassificationcomponentlinkmoveambientband
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We give a classification of $n$-component links up to $C_n$-move. In order to prove this classification, we characterize Brunnian links, and have that a Brunnian link is ambient isotopic to a band sum of trivial link and Milnor's links.

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