The half-twisted splice operation on reduced knot projections

Noboru Ito; Ayaka Shimizu

doi:10.1142/S021821651250112X

The half-twisted splice operation on reduced knot projections

Noboru Ito^*, Ayaka Shimizu

^*Corresponding author for this work

Waseda Institute for Advanced Study

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

12 Citations (Scopus)

Abstract

We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

Original language	English
Article number	1250112
Journal	Journal of Knot Theory and its Ramifications
Volume	21
Issue number	11
DOIs	https://doi.org/10.1142/S021821651250112X
Publication status	Published - 2012 Oct

Keywords

Half-twisted splice
knot projection
local move
reduced knot projection

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1142/S021821651250112X

Cite this

@article{081159d1ec9545aeae97ffed055ed794,

title = "The half-twisted splice operation on reduced knot projections",

abstract = "We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.",

keywords = "Half-twisted splice, knot projection, local move, reduced knot projection",

author = "Noboru Ito and Ayaka Shimizu",

year = "2012",

month = oct,

doi = "10.1142/S021821651250112X",

language = "English",

volume = "21",

journal = "Journal of Knot Theory and its Ramifications",

issn = "0218-2165",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "11",

}

TY - JOUR

T1 - The half-twisted splice operation on reduced knot projections

AU - Ito, Noboru

AU - Shimizu, Ayaka

PY - 2012/10

Y1 - 2012/10

N2 - We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

AB - We show that any nontrivial reduced knot projection can be obtained from a trefoil projection by a finite sequence of half-twisted splice operations and their inverses such that the result of each step in the sequence is reduced.

KW - Half-twisted splice

KW - knot projection

KW - local move

KW - reduced knot projection

UR - http://www.scopus.com/inward/record.url?scp=84865733421&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84865733421&partnerID=8YFLogxK

U2 - 10.1142/S021821651250112X

DO - 10.1142/S021821651250112X

M3 - Article

AN - SCOPUS:84865733421

SN - 0218-2165

VL - 21

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 11

M1 - 1250112

ER -

The half-twisted splice operation on reduced knot projections

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this