A two component link with Alexander polynomial one is concordant to the Hopf link

نویسنده

  • JAMES F. DAVIS
چکیده

Let L be a two component link in S, an embedding of two disjoint circles which is topologically locally flat, that is, which extends to an embedding of two solid tori. The link has Alexander polynomial one, if, and only if, the first homology of the universal abelian cover of the complement of the link vanishes. If the link has Alexander polynomial one, then the linking number of the two components is one. Two links are concordant if there is an topologically locally flat embedding

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تاریخ انتشار 2004