On unknotting operations of rotation type

Yongju Bae; Byeorhi Kim

doi:10.1142/S021821651540009X

On unknotting operations of rotation type

Yongju Bae, Byeorhi Kim

Kyungpook National University

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

Abstract

An unknotting operation is a local move on a knot diagram such that any knot diagram can be transformed into a diagram of the unknot by a finite sequence of the operations and Reidemeister moves. In this paper, we introduce a new local move H(T) on a knot diagram which is obtained by the rotation of a tangle diagram T and study their properties. As an application, we prove that the H(T)-move is an unknotting operation for any descending tangle diagram T.

Original language	English
Article number	1540009
Journal	Journal of Knot Theory and its Ramifications
Volume	24
Issue number	10
DOIs	https://doi.org/10.1142/S021821651540009X
State	Published - 2 Sep 2015

Keywords

chord-tangle diagram
descending tangle diagram
Unknotting operation

Access to Document

10.1142/S021821651540009X

Cite this

@article{a18e771bdc484aea9c9c18cb0ea748d4,

title = "On unknotting operations of rotation type",

abstract = "An unknotting operation is a local move on a knot diagram such that any knot diagram can be transformed into a diagram of the unknot by a finite sequence of the operations and Reidemeister moves. In this paper, we introduce a new local move H(T) on a knot diagram which is obtained by the rotation of a tangle diagram T and study their properties. As an application, we prove that the H(T)-move is an unknotting operation for any descending tangle diagram T.",

keywords = "chord-tangle diagram, descending tangle diagram, Unknotting operation",

author = "Yongju Bae and Byeorhi Kim",

note = "Publisher Copyright: {\textcopyright} 2015 World Scientific Publishing Company.",

year = "2015",

month = sep,

day = "2",

doi = "10.1142/S021821651540009X",

language = "English",

volume = "24",

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

issn = "0218-2165",

publisher = "World Scientific",

number = "10",

}

TY - JOUR

T1 - On unknotting operations of rotation type

AU - Bae, Yongju

AU - Kim, Byeorhi

PY - 2015/9/2

Y1 - 2015/9/2

N2 - An unknotting operation is a local move on a knot diagram such that any knot diagram can be transformed into a diagram of the unknot by a finite sequence of the operations and Reidemeister moves. In this paper, we introduce a new local move H(T) on a knot diagram which is obtained by the rotation of a tangle diagram T and study their properties. As an application, we prove that the H(T)-move is an unknotting operation for any descending tangle diagram T.

AB - An unknotting operation is a local move on a knot diagram such that any knot diagram can be transformed into a diagram of the unknot by a finite sequence of the operations and Reidemeister moves. In this paper, we introduce a new local move H(T) on a knot diagram which is obtained by the rotation of a tangle diagram T and study their properties. As an application, we prove that the H(T)-move is an unknotting operation for any descending tangle diagram T.

KW - chord-tangle diagram

KW - descending tangle diagram

KW - Unknotting operation

UR - https://www.scopus.com/pages/publications/84942892623

U2 - 10.1142/S021821651540009X

DO - 10.1142/S021821651540009X

M3 - Article

AN - SCOPUS:84942892623

SN - 0218-2165

VL - 24

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

IS - 10

M1 - 1540009

ER -

On unknotting operations of rotation type

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this