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