Links with trivial Alexander's module but non-vanishing Massey products
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.
nontrivial Milnor \({\bar \mu }\)-invariants
scientific article; zbMATH DE number 4161686