Self delta-equivalence of cobordant links

Yasutaka Nakanishi; Tetsuo Shibuya; Akira Yasuhara

doi:10.1090/S0002-9939-06-08234-7

Self delta-equivalence of cobordant links

Yasutaka Nakanishi^*, Tetsuo Shibuya, Akira Yasuhara

^*Corresponding author for this work

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

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 language	English
Pages (from-to)	2465-2472
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-06-08234-7
Publication status	Published - 2006 Aug
Externally published	Yes

Keywords

Cobordant
Link-homotopy
Self Δ-equivalence
Δ-move

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-06-08234-7

Cite this

@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 = "Cobordant, Link-homotopy, Self Δ-equivalence, Δ-move",

author = "Yasutaka Nakanishi and Tetsuo Shibuya and Akira Yasuhara",

year = "2006",

month = aug,

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

Y1 - 2006/8

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 - Cobordant

KW - Link-homotopy

KW - Self Δ-equivalence

KW - Δ-move

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

AN - SCOPUS:33746331368

SN - 0002-9939

VL - 134

SP - 2465

EP - 2472

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 8

ER -

Self delta-equivalence of cobordant links

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this