Abstract
We describe an algorithm which, given almost any commutator β of weight m in the free group on k letters, constructs a k-component Brunnian link of circles in R 3 which has the same Alexander's module as the trivial k-component link, but has a non-trivial Massey product of weight m. Consequently these links are not even topologically I-equivalent to any homology boundary link. If β contains no repeat symbols then the corresponding link is not even link-homotopic to a trivial link!
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