On Alexander modules and Blanchfield forms of null-homologous knots in rational homology spheres
arXiv:1104.4585 · doi:10.1142/S0218216511009947
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 , and the modules A such that there is a unique isomorphism class of , and we prove that for the other modules A, there are infinitely many such classes. We realise all these by explicit knots in rational homology spheres.
Submitted to the Journal of Knots Theory and its Ramifications