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H 1 Surface systems for links​

Auteurs : Powell, Mark (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : A surface system for a link in $S^3$ is a collection of embedded Seifert surfaces for the components, that are allowed to intersect one another. When do two $n$-component links with the same pairwise linking numbers admit homeomorphic surface systems? It turns out this holds if and only if the link exteriors are bordant over the free abelian group $\mathbb{Z}_n$. In this talk we characterise these geometric conditions in terms of algebraic link invariants in two ways: first the triple linking numbers and then the fundamental groups of the links. This involves a detailed study of the indeterminacy of Milnor’s triple linking numbers.
    Based on joint work with Chris Davis, Matthias Nagel and Patrick Orson.

    Codes MSC :
    57M25 - Knots and links in $S^3$
    57M27 - Invariants of knots and 3-manifolds
    57N70 - Cobordism and concordance

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 18/02/2018
      Date de captation : 13/02/2018
      Collection : Research talks ; Geometry ; Topology
      Format : MP4
      Durée : 01:03:30
      Domaine : Topology ; Geometry
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2018-02-13_Powell.mp4

    Informations sur la rencontre

    Nom de la rencontre : Knotted embeddings in dimensions 3 and 4 / Plongements noués en dimension 3 et 4
    Organisateurs de la rencontre : Audoux, Benjamin ; Baader, Sebastian ; Lecuona, Ana G.
    Dates : 12/02/2018 - 16/02/2018
    Année de la rencontre : 2018
    URL Congrès : https://conferences.cirm-math.fr/1893.html

    Citation Data

    DOI : 10.24350/CIRM.V.19356803
    Cite this video as: Powell, Mark (2018). Surface systems for links​. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19356803
    URI : http://dx.doi.org/10.24350/CIRM.V.19356803


    Voir aussi

    Bibliographie

    1. Davis, C.W., Nagel, M., Orson, P., & Powell, M. (2017). Triple linking numbers and surface systems. - https://arxiv.org/abs/1709.08478

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