Links with trivial Alexander's module but non-vanishing Massey products
type: Item
instance of: scholarly article
title: Links with trivial Alexander's module but non-vanishing Massey products
zbMATH Open document ID: 0707.57004
DOI: 10.1016/0040-9383(90)90008-8
author: Tim D. Cochran
published in: Topology
publication date: 1990-01-01T00:00:00Z
review text: The author uses his geometric techniques introduced in ``Derivatives of links: Milnor's concordance invariants and Massey's products'' [Mem. Am. Math. Soc. 427 (1990)] to produce many examples of links in \(S^ 3\) with trivial Alexander modules but nontrivial Milnor \({\bar \mu}\)-invariants. The existence of such examples indicates that the Alexander module is less sensitive to topological properties of links than may previously have been suspected; in particular, for some of these links the module does not detect the fact that they are nontrivial even under homotopy, one of the coarsest equivalence relations in link theory.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 55S30
zbMATH DE Number: 4161686
zbMATH Keywords: Massey products
zbMATH Keywords: links
zbMATH Keywords: trivial Alexander modules
zbMATH Keywords: nontrivial Milnor \({\bar \mu }\)-invariants
MaRDI profile type: Publication
full work available at URL: 0040-9383(90)90008-8
OpenAlex ID: W1964359345
description: scientific article; zbMATH DE number 4161686