Everywhere Equivalent 3-Braids

A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of a closed 3-braid.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2014
Main Author: Stoimenow, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146539
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Everywhere Equivalent 3-Braids/ A. Stoimenow // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Stoimenow, A.
author_facet Stoimenow, A.
citation_txt Everywhere Equivalent 3-Braids/ A. Stoimenow // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 23 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of a closed 3-braid.
first_indexed 2025-12-07T17:20:48Z
format Article
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id nasplib_isofts_kiev_ua-123456789-146539
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T17:20:48Z
publishDate 2014
publisher Інститут математики НАН України
record_format dspace
spelling Stoimenow, A.
2019-02-09T21:00:00Z
2019-02-09T21:00:00Z
2014
Everywhere Equivalent 3-Braids/ A. Stoimenow // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 23 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 57M25; 20F36; 20E45; 20C08
DOI:10.3842/SIGMA.2014.105
https://nasplib.isofts.kiev.ua/handle/123456789/146539
A knot (or link) diagram is said to be everywhere equivalent if all the diagrams obtained by switching one crossing represent the same knot (or link). We classify such diagrams of a closed 3-braid.
I wish to thank K. Taniyama and R. Shinjo for proposing the problems to me, and the referees
 for their helpful comments.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Everywhere Equivalent 3-Braids
Article
published earlier
spellingShingle Everywhere Equivalent 3-Braids
Stoimenow, A.
title Everywhere Equivalent 3-Braids
title_full Everywhere Equivalent 3-Braids
title_fullStr Everywhere Equivalent 3-Braids
title_full_unstemmed Everywhere Equivalent 3-Braids
title_short Everywhere Equivalent 3-Braids
title_sort everywhere equivalent 3-braids
url https://nasplib.isofts.kiev.ua/handle/123456789/146539
work_keys_str_mv AT stoimenowa everywhereequivalent3braids