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Pré-Publication, Document De Travail Année : 2020

Characterization of the reduced peripheral system of links

Jean-Baptiste Meilhan

Résumé

The reduced peripheral system was introduced by Milnor in the fifties for the study of links up to link-homotopy, i.e. up to isotopies and crossing changes within each link component. However, for four or more components, this invariant does not yield a complete link-homotopy invariant. This paper provides two characterizations of links having the same reduced peripheral system: a diagrammatical one, in terms of link diagrams, seen as welded diagrams up to self-virtualization, and a topological one, in terms of ribbon solid tori in 4-space up to ribbon link-homotopy.
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Dates et versions

hal-02094675 , version 1 (09-04-2019)
hal-02094675 , version 2 (27-05-2019)
hal-02094675 , version 3 (05-02-2020)

Identifiants

  • HAL Id : hal-02094675 , version 3

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Benjamin Audoux, Jean-Baptiste Meilhan. Characterization of the reduced peripheral system of links. 2020. ⟨hal-02094675v3⟩
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