Realization of Vassiliev Invariants by Unknotting Number One Knots

Ohyama Yoshiyuki*, Taniyama Kouki, Yamada Shuji

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


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
Issue number1
Publication statusPublished - 2002


  • Unknotting number one knot
  • Vassiliev invariant

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'Realization of Vassiliev Invariants by Unknotting Number One Knots'. Together they form a unique fingerprint.

Cite this