Open Access
June 2002 Realization of Vassiliev Invariants by Unknotting Number One Knots
Yoshiyuki OHYAMA, Kouki TANIYAMA, Shuji YAMADA
Tokyo J. Math. 25(1): 17-31 (June 2002). DOI: 10.3836/tjm/1244208933

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 $K$.

Citation

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Yoshiyuki OHYAMA. Kouki TANIYAMA. Shuji YAMADA. "Realization of Vassiliev Invariants by Unknotting Number One Knots." Tokyo J. Math. 25 (1) 17 - 31, June 2002. https://doi.org/10.3836/tjm/1244208933

Information

Published: June 2002
First available in Project Euclid: 5 June 2009

zbMATH: 1002.57030
MathSciNet: MR1908210
Digital Object Identifier: 10.3836/tjm/1244208933

Subjects:
Primary: 57M25

Rights: Copyright © 2002 Publication Committee for the Tokyo Journal of Mathematics

Vol.25 • No. 1 • June 2002
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