# An Explicit Computation of the Blanchfield Pairing for Arbitrary Links

@article{Conway2018AnEC, title={An Explicit Computation of the Blanchfield Pairing for Arbitrary Links}, author={Anthony Conway}, journal={Canadian Journal of Mathematics}, year={2018}, volume={70}, pages={983 - 1007} }

Abstract Given a link $L$ , the Blanchfield pairing $\text{Bl(}L\text{)}$ is a pairing that is defined on the torsion submodule of the Alexander module of $L$ . In some particular cases, namely if $L$ is a boundary link or if the Alexander module of $L$ is torsion, $\text{Bl(}L\text{)}$ can be computed explicitly; however no formula is known in general. In this article, we compute the Blanchfield pairing of any link, generalizing the aforementioned results. As a corollary, we obtain a new proof…

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