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

doi:10.1016/j.topol.2005.06.001

Topology and its Applications

Volume 153, Issue 11, 1 May 2006, Pages 1643-1650

https://doi.org/10.1016/j.topol.2005.06.001 Get rights and content

Under an Elsevier user license

open archive

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 a trivial link and Milnor's links.

MSC

57M25

Keywords

C_{n}

-move

Brunnian link

Link homotopy

Cited by (0)

¹: The first author is partially supported by the 21st COE program “Constitution of wide-angle mathematical basis focused on knots”.