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Link homotopic but not isotopic (1601.05292v3)
Published 20 Jan 2016 in math.GT
Abstract: Given an $m$-component link $L$ in $S3$ ($m \ge 2$), we construct a family of links which are link homotopic, but not link isotopic, to $L$. Every proper sublink of such a link is link isotopic to the corresponding sublink of $L$. Moreover, if $L$ is an unlink then there exist links that in addition to the above properties have all Milnor invariants zero.
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