Realization of Vassiliev Invariants by Unknotting Number One Knots

Ohyama Yoshiyuki; Taniyama Kouki; Yamada Shuji

doi:10.3836/tjm/1244208933

Realization of Vassiliev Invariants by Unknotting Number One Knots

Ohyama Yoshiyuki^*, Taniyama Kouki, Yamada Shuji

^*Corresponding author for this work

School of Education

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	17-31
Number of pages	15
Journal	Tokyo Journal of Mathematics
Volume	25
Issue number	1
DOIs	https://doi.org/10.3836/tjm/1244208933
Publication status	Published - 2002

Keywords

Unknotting number one knot
Vassiliev invariant

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3836/tjm/1244208933

Cite this

@article{9350c3f15eb2429aa5a76531d0df9e1e,

title = "Realization of Vassiliev Invariants by Unknotting Number One Knots",

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.",

keywords = "Unknotting number one knot, Vassiliev invariant",

author = "Ohyama Yoshiyuki and Taniyama Kouki and Yamada Shuji",

year = "2002",

doi = "10.3836/tjm/1244208933",

language = "English",

volume = "25",

pages = "17--31",

journal = "Tokyo Journal of Mathematics",

issn = "0387-3870",

publisher = "Publication Committee for the Tokyo Journal of Mathematics",

number = "1",

}

TY - JOUR

T1 - Realization of Vassiliev Invariants by Unknotting Number One Knots

AU - Yoshiyuki, Ohyama

AU - Kouki, Taniyama

AU - Shuji, Yamada

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - Unknotting number one knot

KW - Vassiliev invariant

UR - http://www.scopus.com/inward/record.url?scp=0142064945&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0142064945&partnerID=8YFLogxK

U2 - 10.3836/tjm/1244208933

DO - 10.3836/tjm/1244208933

M3 - Article

AN - SCOPUS:0142064945

SN - 0387-3870

VL - 25

SP - 17

EP - 31

JO - Tokyo Journal of Mathematics

JF - Tokyo Journal of Mathematics

IS - 1

ER -

Realization of Vassiliev Invariants by Unknotting Number One Knots

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this