The Cochran sequences of semi-boundary links
type: Item
instance of: scholarly article
title: The Cochran sequences of semi-boundary links
zbMATH Open document ID: 0728.57006
author: Gyo Taek Jin
published in: Pacific Journal of Mathematics
publication date: 1991-01-01T00:00:00Z
review text: A 2-component link L is semiboundary if it has linking number 0. Such links have Sato-Levine invariants \(\beta (L)\in \pi_ 3(S^ 2)\cong {\mathbb{Z}}\). The derived link D(L) of \textit{T. D. Cochran} [Comment. Math. Helv. 60, 291-311 (1985; Zbl 0574.57008)] is again semiboundary and so there is a sequence of higher Sato-Levine invariants \(\beta_ i(L)=\beta (D^{i-1}(L))\). The main result of this paper is that such a sequence must satisfy a linear recurrence relation and conversely any linear recurrence sequence is realized by some semiboundary link.
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 4203277
zbMATH Keywords: link
zbMATH Keywords: semiboundary
zbMATH Keywords: Sato-Levine invariants
zbMATH Keywords: derived link
zbMATH Keywords: linear recurrence
reviewed by: Jonathan A. Hillman
MaRDI profile type: Publication
full work available at URL: pjm.1991.149.293
OpenAlex ID: W2060905734
DOI: 10.2140/PJM.1991.149.293
description: scientific article; zbMATH DE number 4203277