# An explicit computation of the Blanchfield pairing for arbitrary links

```@inproceedings{Conway2017AnEC,
title={An explicit computation of the Blanchfield pairing for arbitrary links},
author={Anthony Conway},
year={2017}
}```
Given a link \$L\$, the Blanchfield pairing \$\operatorname{Bl}(L)\$ is a pairing which 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, \$\operatorname{Bl}(L)\$ 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 that… CONTINUE READING

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