Self delta-equivalence of cobordant links

Yasutaka Nakanishi, Tetsuo Shibuya, Akira Yasuhara

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Self Δ-equivalence is an equivalence relation for links, which is stronger than the link-homotopy denned by J. Milnor. It is known that cobordant links are link-homotopic and that they are not necessarily self Δ-equivalent. In this paper, we will give a sufficient condition for cobordant links to be self Δ-equivalent.

Original languageEnglish
Pages (from-to)2465-2472
Number of pages8
JournalProceedings of the American Mathematical Society
Volume134
Issue number8
DOIs
Publication statusPublished - 2006 Aug 1
Externally publishedYes

Fingerprint

Link Homotopy
Equivalence
Equivalence relation
Sufficient Conditions

Keywords

  • Δ-move
  • Cobordant
  • Link-homotopy
  • Self Δ-equivalence

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Self delta-equivalence of cobordant links. / Nakanishi, Yasutaka; Shibuya, Tetsuo; Yasuhara, Akira.

In: Proceedings of the American Mathematical Society, Vol. 134, No. 8, 01.08.2006, p. 2465-2472.

Research output: Contribution to journalArticle

Nakanishi, Yasutaka ; Shibuya, Tetsuo ; Yasuhara, Akira. / Self delta-equivalence of cobordant links. In: Proceedings of the American Mathematical Society. 2006 ; Vol. 134, No. 8. pp. 2465-2472.
@article{86059f73f8fd41e7953d5bc443d79226,
title = "Self delta-equivalence of cobordant links",
abstract = "Self Δ-equivalence is an equivalence relation for links, which is stronger than the link-homotopy denned by J. Milnor. It is known that cobordant links are link-homotopic and that they are not necessarily self Δ-equivalent. In this paper, we will give a sufficient condition for cobordant links to be self Δ-equivalent.",
keywords = "Δ-move, Cobordant, Link-homotopy, Self Δ-equivalence",
author = "Yasutaka Nakanishi and Tetsuo Shibuya and Akira Yasuhara",
year = "2006",
month = "8",
day = "1",
doi = "10.1090/S0002-9939-06-08234-7",
language = "English",
volume = "134",
pages = "2465--2472",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "8",

}

TY - JOUR

T1 - Self delta-equivalence of cobordant links

AU - Nakanishi, Yasutaka

AU - Shibuya, Tetsuo

AU - Yasuhara, Akira

PY - 2006/8/1

Y1 - 2006/8/1

N2 - Self Δ-equivalence is an equivalence relation for links, which is stronger than the link-homotopy denned by J. Milnor. It is known that cobordant links are link-homotopic and that they are not necessarily self Δ-equivalent. In this paper, we will give a sufficient condition for cobordant links to be self Δ-equivalent.

AB - Self Δ-equivalence is an equivalence relation for links, which is stronger than the link-homotopy denned by J. Milnor. It is known that cobordant links are link-homotopic and that they are not necessarily self Δ-equivalent. In this paper, we will give a sufficient condition for cobordant links to be self Δ-equivalent.

KW - Δ-move

KW - Cobordant

KW - Link-homotopy

KW - Self Δ-equivalence

UR - http://www.scopus.com/inward/record.url?scp=33746331368&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746331368&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-06-08234-7

DO - 10.1090/S0002-9939-06-08234-7

M3 - Article

VL - 134

SP - 2465

EP - 2472

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 8

ER -