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Akira Yasuhara

  1. Milnor invariants and the HOMFLYPT polynomial.

    Ср, 02/10/2010 - 16:01 — SomNambul
    Authors: Akira Yasuhara, Jean-Baptiste Meilhan
    Subjects: Geometric Topology
    Abstract

    In a previous paper, the authors defined a family of string link invariants
    using the HOMFLYPT polynomial and various closure operations on (cabled) string
    links. We give a formula expressing Milnor invariants of string links as a
    linear combination of such invariants. We also use these invariants to
    investigate the classification of string links up to C_n-moves.

  2. Homotopy, Delta-equivalence and concordance for knots in the complement of a trivial link.

    Ср, 09/09/2009 - 22:08 — SomNambul
    Authors: Thomas Fleming, Tetsuo Shibuya, Tatsuya Tsukamoto, Akira Yasuhara
    Subjects: Geometric Topology
    Abstract

    Link-homotopy and self Delta-equivalence are equivalence relations on links.
    It was shown by J. Milnor (resp. the last author) that Milnor invariants
    determine whether or not a link is link-homotopic (resp. self Delta-equivalent)
    to a trivial link. We study link-homotopy and self Delta-equivalence on a
    certain component of a link with fixing the rest components, in other words,
    homotopy and Delta-equivalence of knots in the complement of a certain link.

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