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An explicit computation of the Blanchfield pairing for arbitrary links | | Anthony Conway
; | | Date: |
1 Jun 2017 | | Abstract: | 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 the Blanchfield pairing is hermitian and
nonsingular. Finally, we also obtain short proofs of several properties of
$operatorname{Bl}(L)$. | | Source: | arXiv, 1706.0226 | | Services: | Forum | Review | PDF | Favorites | |
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