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

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

2004-12-24

arxiv.org/abs/math/0412490v1

Mathematics

Geometric Topology

Scientific paper

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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