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On Borromean links

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Abstract

n-Borromean links are nontrivial links in whichn rings,n ≥ 3, are combined in such a way that any two component rings form a trivial link. The symmetry of links withn = 3 is discussed, and it is shown that such links form a variety of series whose members are different isotopy types. Examples are adduced of 3-Borromean links that are topologically chiral: Novel constructions are described ofn-Borromean links with and without at least one nontrivial sublink.

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Authors and Affiliations

  1. Department of Chemistry, Princeton University, 08544, Princeton, NJ, USA

    Chengzhi Liang & Kurt Mislow

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  1. Chengzhi Liang
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  2. Kurt Mislow
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Liang, C., Mislow, K. On Borromean links. J Math Chem 16, 27–35 (1994). https://doi.org/10.1007/BF01169193

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  • DOI: https://doi.org/10.1007/BF01169193

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