Doubly sliced knots and doubled disk knots
type: Item
instance of: scholarly article
title: Doubly sliced knots and doubled disk knots
zbMATH Open document ID: 0536.57008
published in: Michigan Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: It is shown that the cohomology ring of a doubly-sliced n-knot is hyperbolic, in a natural sense, and that this result implies the conditions already known in the middle dimensions. Then it is shown that the double of a disk knot is doubly-sliced, and for \(n=1,2\), examples are given of doubly-sliced n-knots which are not doubled disk knots. On the other hand, it is shown that for \(q\geq 2\), any simple doubly-sliced (2q- 1)-knot is the double of a disk knot.
Mathematics Subject Classification ID: 57Q45
zbMATH DE Number: 3852033
zbMATH Keywords: cohomology ring of a doubly-sliced n-knot
zbMATH Keywords: double of a disk knot
author: Jerome Levine
reviewed by: C. Kearton
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1029002856
OpenAlex ID: W2053927346
DOI: 10.1307/MMJ/1029002856
description: scientific article; zbMATH DE number 3852033