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arXiv · 1104.4585

On Alexander modules and Blanchfield forms of null-homologous knots in rational homology spheres

Delphine Moussard
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Abstract

In this article, we give a classification of Alexander modules of null-homologous knots in rational homology spheres. We characterize these modules A equipped with their Blanchfield forms $ϕ$, and the modules A such that there is a unique isomorphism class of $(A,ϕ)$, and we prove that for the other modules A, there are infinitely many such classes. We realise all these $(A,ϕ)$ by explicit knots in rational homology spheres.

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Delphine Moussard. 2011-04-23. On Alexander modules and Blanchfield forms of null-homologous knots in rational homology spheres. https://doi.org/10.1142/s0218216511009947

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