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Article Dans Une Revue Journal of Knot Theory and Its Ramifications Année : 2012

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

Delphine Moussard
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Résumé

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 $\phi$, and the modules A such that there is a unique isomorphism class of $(A,\phi)$, and we prove that for the other modules A, there are infinitely many such classes. We realise all these $(A,\phi)$ by explicit knots in rational homology spheres.
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Dates et versions

hal-00588302 , version 1 (22-04-2011)

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Delphine Moussard. On Alexander modules and Blanchfield forms of null-homologous knots in rational homology spheres. Journal of Knot Theory and Its Ramifications, 2012, 21 (5), 1250042 (21 p.). ⟨10.1142/S0218216511009947⟩. ⟨hal-00588302⟩

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