Realization of Vassiliev Invariants by Unknotting Number One Knots

Ohyama Yoshiyuki, Kouki Taniyama, Yamada Shuji

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    We show that for any natural number n and any knot K, there are infinitely many unknotting number one knots, all of whose Vassiliev invariants of order less than or equal to n coincide with those of K.

    Original languageEnglish
    Pages (from-to)17-31
    Number of pages15
    JournalTokyo Journal of Mathematics
    Volume25
    Issue number1
    DOIs
    Publication statusPublished - 2002 Jan 1

    Fingerprint

    Unknotting number
    Vassiliev Invariants
    Knot
    Less than or equal to
    Natural number

    Keywords

    • Unknotting number one knot
    • Vassiliev invariant

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Realization of Vassiliev Invariants by Unknotting Number One Knots. / Yoshiyuki, Ohyama; Taniyama, Kouki; Shuji, Yamada.

    In: Tokyo Journal of Mathematics, Vol. 25, No. 1, 01.01.2002, p. 17-31.

    Research output: Contribution to journalArticle

    Yoshiyuki, Ohyama ; Taniyama, Kouki ; Shuji, Yamada. / Realization of Vassiliev Invariants by Unknotting Number One Knots. In: Tokyo Journal of Mathematics. 2002 ; Vol. 25, No. 1. pp. 17-31.
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