Abstract
In this paper we study the homology of the universal abelian cover of the complement of a boundary link of $n$-spheres in ${S^{n + 2}}$, as modules over the (free abelian) group of covering transformations. A consequence of our results is a characterization of the polynomial invariants ${p_{i,q}}$ of boundary links for $1 \leqslant q \leqslant [n/2]$. Along the way we address the following algebraic problem: given a homomorphism of commutative rings $f:R \to S$ and a chain complex ${C_ \ast }$ over $R$, determine when the complex $S{ \otimes _R}{C_ \ast }$ is acyclic. The present work is a step toward the characterization of link modules in general.
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