The Arf invariant of proper links in solid tori
type: Item
instance of: scholarly article
title: The Arf invariant of proper links in solid tori
zbMATH Open document ID: 0705.57007
author: Tetsuo Shibuya
published in: Osaka Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
review text: An n-component link in \(S^ 3\) is called ``proper'', if each component has an even linking number with the rest of the link. Two links \(\ell\) and \(\ell (m)\) in a solid torus V are T-related if they are carried into each other by an m-fold meridional twist of V. The author proves relations between the Arf-invariants of \(\ell\) and \(\ell (m)\) dependent on the winding number of \(\ell\) in V. The work of Robertello on the Arf- invariant is used and a relation of Murakami between the Arf-invariant and the Jones polynomial at i.
Mathematics Subject Classification ID: 57M25
zbMATH DE Number: 4157494
zbMATH Keywords: link
zbMATH Keywords: linking number
zbMATH Keywords: Arf-invariants
zbMATH Keywords: winding number
zbMATH Keywords: Jones polynomial
reviewed by: Gerhard Burde
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4157494