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

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arxiv math/0412490 v1 pith:C526NV67 submitted 2004-12-24 math.GT

classification math.GT
keywords linksbrunnianclassificationcomponentlinkmoveambientband
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abstract

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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